Last updated on February 2, 2021 Fantasy 5 is a game where you must pick 5 numbers from a given number field. It’s like playing basketball where a team needs 5 players. Did you know that number 5 is the corresponding number for Mercury, the planet of intelligence, awareness and logic? Thus, let this post make you aware of your options when playing this game. Learn more about the game so you can make an intelligent and logical game plan. Hence, even if your birthday is not the 5th, 14th or 23rd, Mercury’s redeeming qualities may still manifest in you. Without further ado, let’s explore more about the Fantasy 5 game. Use the correct tool for playing Fantasy 5. To win the jackpot in a lottery, one needs to buy a ticket. The usual process of buying a ticket involves getting a playslip and marking the numbers one wants to play for in the game. Easy, right? It seems like a child play that some people simply mark the numbers that they first think of. However, even a child’s game like a piñata requires a certain strategy for winning. A blindfolded child could mentally count his step to overcome the inability to see the goal. This way, he could be close to hitting the piñata and win. Here, we see the importance of a strategy for winning even a simple game like piñata. This also emphasizes the significance of a well-thought-of plan when playing adult games like lotteries. So what strategies are available for picking lottery combinations? A commonly used strategy involves statistics where players track the hot and cold numbers. Hot numbers are those that have been drawn more times than the cold numbers. They assume that cold numbers are long overdue and could, therefore, win next. Some lottery websites even provide players with the statistics, but would a smart lotto player rely on hot and cold numbers? A lottery game like Fantasy 5 is one event governed by the law of large numbers or LLN. According to this law, a huge increase in the number of draws will show that the frequency of occurrence of all numbers will eventually converge around the same rate. Therefore, it cancels the effectiveness of the initial observation on hot and cold numbers. This confirms that statistical analysis is not the correct tool for creating lottery combinations. Statistics for number tracking will never work in the lottery. If so, what will? The lottery is random, but it is also deterministic. There are causes to all events. This image suggests that a mathematical strategy exists. This is the computer-generated image of a lottery’s randomness. There are white streaks and gray dots that represent combinations in a lottery game. This image suggests there is a way to take advantage of the lottery’s randomness. There are ideas a player may use so he will not be mathematically wrong for most of the draws. The randomness of a lottery game permits the use of probability calculations. These calculations will pave the way for arriving at accurate and more precise conclusions consistent with the law of large numbers. You’ll see more details to support this when you read this visual analysis. Mindy works in such a great company. Every week, their boss would pass around a box containing 10 balls in orange, purple and green. These balls denote small, but still exciting incentives that change every week. For this week, orange is for a bag of chips. Purple is for a brand new earphones. Green is for a $50 gift check. No employee knows the number of balls in each color. Thus, if Mindy wants to know if she could ever pick an orange ball, she has to use statistical sampling. Yet, the boss may declare there are 5 orange, 2 purple and 3 orange balls. Based on these details, she would know her probability of getting a $50 GC. The lottery is just like the second scenario. Every game lets players know how many balls there are and how many numbers they must pick. Therefore, a lottery has a finite quality that allows probability calculations. Probability comprises the best tool to use for the lottery. However, probability alone will not complete a precise mathematical strategy. You must put combinatorics into your perspective too. Which ratio should you choose? A lottery game is random. It has a fundamental probability that no one can control. No one could predict which combinations will win in the next draw. Nonetheless, a mathematical game plan will help bring this winning chance close to your grasp. Statistics is not the right tool for this; combinatorics and probability are. One might ask a philosophical question. “Statistics is a mathematical concept, so why can’t I just stick to it?” In math, our teachers taught us that we must analyze a problem in order to find the right solution. Look for the given or known data and pick a method most appropriate to find the answer. I have told you above that statistical tracking is not the proper way of selecting numbers. It is because all numbers ultimately have equal chances of getting picked with an increased number of draws . Since lottery games have known pick size and number field, statistical analysis will not work. That’s why I have shown you that probabilistic analysis is the better way to go. Statistics and probability are both mathematical concepts, but we have determined that the latter is more appropriate to use with lotteries. Now, let us focus on establishing what will give us a complete solution to lottery number and combination selection. A lottery game has thousands to millions of possible combinations, depending on a game. For example, Florida Lottery Fantasy 5 has 376,992 possible combinations. Each combination has equal probability. Probability tells how likely an event will occur. In the lottery, probability is the likelihood that your chosen combination will match the winning combination. The formula below helps determine this. Let us assume you want to play for the combination 5-9-27-35-36. In order to win, the winning combination must have the exact numbers you have selected. Thus, out of 376,992 total combinations, you have only one probability. This goes for any combination you choose. To increase your chances of winning, buy more tickets with other combinations. Thinking only about the probability of winning, you could lose the opportunity to find a better game plan. This is the best time to pay attention to the odds of winning. Odds measure the likelihood that an event will happen against the likelihood that it will not happen. Hence, odds also refer to the ratio of success to failure. The formula for odds is Probability and odds are both ratios. Yet, their difference provides an avenue for achieving the strategy that we want to establish. With probability, you consider only the combination you selected. Thus, this combination is like other combinations by having only one probability to make you win the jackpot. Either you win or you lose, no matter what combination you choose. With odds, you consider every group of combination and calculate how far or how close it can bring you to the jackpot. Therefore, it does not limit your winning perspective. It lets you discover and understand more about the game so you can find the best way to deal with it. Probability and odds are two mathematical concepts that players should use together when analyzing combinations in the lottery. An analogy that could help you understand probability and odds better is a television. Probability is like a black and white television where you see only two colors. White is the probability of winning, and black is the probability of losing. Odds are like a colored television, like the modern QLED TV, which allows you to see different colors on the screen. These colors represent the combinatorial groups and their unequal odds. Remember that there are many combinations for a certain lottery game. Odds enable you to divide these combinations into groups. Combinatorial groups do not have the same odds or ratio of success to failure. One group will have a better ratio than the others. The combinatorial group with the best odds will give players fewer ways of being wrong. This is the group that a smart player will use when picking numbers on the playslip. This table above is for a Fantasy 5 game with 36 balls. The ideal combination to spend money on is one with 3 odd and 2 even numbers. The worst combination is one that comprises 5 even numbers. Why? Look at each groups’ ways of winning and failing. A 3-odd-2-even combination can provide 15 times more ways of winning than a 5-even combination. When you play for a combination with 3-odd-2-even, you have 116,280 fewer ways of losing than with a 5-even. The key concept is to have fewer ways of losing and more ways of winning in your lottery games. If you know which combinatorial group has the best odds, would you still insist on anything less? You would definitely not; unless you want to spend money on the wrong combinations for most of the games you play. In our example above, a 3-odd-2-even combination allows you to have more ways of winning, yet fewer ways of losing. Thus, it is the option you will rationally choose instead of a 5-even combination. Suppose you do not know about combinatorial groups. You regularly played 2-24-18-22-30 because these are your family members’ birth dates. You have been spending money on one of the worst combinations and then stumbled upon this article. It is understandable for you to feel regretful after realizing you just wasted your money. The combination you have been using for years turned out to have the worst ratio. RememberLooking at the odds or ratio of success to failure of a combination will show you if it is worth spending money on as you play the lottery. The combination with the best odds will not exactly give you the next winning combination.The lottery is random and has a governing probability that no one can change. In a lottery game, a combination with the best odds can bring you closer to winning the jackpot.What combinatorial groups can give you is not the power to beat the odds. Instead, it grants you the opportunity to use your logic and free will to make the right choice. You may also choose to not play, if you think this is the ideal action to take. The combination with best ratio is not necessarily the next winning combination. Instead, it makes spending money worthwhile since you can get closer to the jackpot every time you play. Always choose the combinatorial group with best ratio of success to failure. Now, let’s explore more about the games’ combinatorial groups and ratios. Let’s analyze the basic combinatorial groups for Fantasy 5. Numbers are interesting because they have various meanings and connotations. This number 5, for example, will fascinate you. Some refer to it as the number of humanity. A human (generally) has 5 senses, 5, toes, 5 fingers and 5 major body systems. With lotteries, you might even feel amazed that there are 5 US states offering Fantasy 5. Florida, Georgia and Arizona have obviously different versions of the game. California and Michigan have games that look similar on the onset, but the differences lie on the game mechanics and prize layout. So, if you wish to know how to do well in each of these Fantasy 5 games, keep reading with a passion the information below. With lottery games, the composition of combinations is where you should put your attention to. How do you pay attention to the composition? You would surely ask next. Combinatorial groups not only differ in terms of odds. They also differ in composition. To explain to you more about composition, we have to first go back to the basics of playing lottery games. Anyone who wants to play the lottery must know what numbers and combinations are. We can say that a number is the basic unit of a combination. One number alone seems insignificant. Yet, when placed together with other numbers, you can have a combination that can win the jackpot. In lottery games, all balls in a drum have the same weight, texture, shape and size. No ball will get frequently drawn because it is heavier or has a rougher texture than the other balls. All balls in a drum have equal chances of getting taken out during a draw. A well-played game of Fantasy 5 (or any lottery game) is one where you meticulously select the numbers that will complete a playable combination. This way, you can create a combination that is worth your lottery entertainment budget. In a Fantasy 5 game, a playable combination comprises 5 numbers from a particular game’s number field. The number field refers to the balls in a lottery game. Each ball carries each number you may select when forming the combination. Composition is the anatomy and configuration of a combination. What odd or even numbers have you included in your combination? Which low or high numbers did you select? These are some questions you might ask when you’re considering composition of combination. Remember the composition varies depending on number field of a game. Let’s first look at Florida Lottery Fantasy 5. This game offers a prize of about $200,000. Choose 5 numbers from the number field of 36 balls. One play costs $1 and pay another $1 for an EZmatch game to get a chance to win instant cash. With 36 balls, the total number of possible combinations here is 376,992. The number sets included here are Odd = 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35 Even = 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36 Categorizing numbers into odd or even is easy. Even with your eyes closed, you can tell if a number is odd or even. Thus, the combinatorial groups for this game are Composition may refer to the odd and even numbers that make up a combination. As a 5-number lotto game, the combinatorial groups here are 5-odd, 4-odd-1-even, 3-odd-2-even, 2-odd-3-even, 1-odd-4-even and 5-even. The values in the table show that there are only three groups you could choose from, based on their odds. 5-odd and 5-even have the same ratio of success to failure. They both offer 8568 ways to win and 368,424 ways to fail. The middle option of combinational group is 4-odd-1-even or 1-odd-4-even. Either group will let you win 55,080 ways and lose 321912 ways. The groups that provide the best ratio are 3-odd-2-even or 2-odd-3-even. With 124,848 ways to win, your ways to lose using this group are 252,144. These groups have 1.5 times reduced ways of losing than the worst groups of 5-odd or 5-even. Would you trade a pattern that can occur 33 times for one that can only happen 15 or 2 times in 100 draws? A keen player would likely not. When it comes to a mathematical strategy based on composition, odd-even is not the onlystandard. Another decisive factor for choosing numbers is low-high. For a 5/36 game, there are Low = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18 High = 19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36 To make the low and high sets, just divide the number field into two. You also have three options in terms of the ratio of success to failure from low-high composition. The worst choice is 5-low or 5-high. It offers 15 times fewer ways of winning than the best choice. The run-of-the-mill option is 4-low-1-high or 1-low-4-high. Its probability value is 2 times lower than the best choice. The best choice is 3-low-2-high or 2-low-3-high. It can reduce your ways of losing by 1.5 times than when you use a 5-low or 5-high pattern. It also can occur twice as much as the middle choice pattern in every 100 draws. While doing the laundry, Patricia found a $10bill in the pocket of her jeans. She used it to buy a ticket for 10 consecutive games. She played for 8-12-22-26-34 that she all saw when she watched the television. Was the decision a good one or not? Let’s see. Based on odd-even analysis, 8-12-22-26-34 has 5-even pattern. It is one of the worst patterns to use for this game. If we analyze this combination’s low-high composition, we discover that it has the best ratio because of its 2-low-3-high pattern. 8-12-22-26-34 = (worst odd-even ratio + best low-high ratio) We see contradicting analyses for this combination, and this implies that it would not yield a satisfactory result in the draws. Therefore, Patricia’s decision to buy a ticket for 10 consecutive games for 8-12-22-26-34 was impractical. She could have alternatively spent it on other things like food or a basic monthly subscription of Netflix. If only she were more careful about her number selection, she could have come up with a better combination. If only she read a combinatorial group article before she headed to the lotto retailer, she could have changed her numbers. There are many ways to tweak her combination in order to follow the best choice of 3-odd-2-even or 2-odd-3-even pattern. She could have instead played for 9-12-23-26-35 or 8-12-21-27-33. RememberYou could play using a 3-low-2-high or a 5-low combination. The probability of winning remains the same, regardless of the combination.Yet, choosing a 3-low-2-high instead of a 5-low combination lets you benefit from having more ways of winning and fewer ways of losing. This is because a 3-low-2-high pattern has a better ratio of success to failure than a 5-low pattern. Notice that learning about combinatorial mathematics and applying it as a strategy when playing the lottery is beneficial. It lets you analyze the worth of your originally chosen numbers, then change them when necessary. This also applies for the California Lottery Fantasy 5. One play also costs $1, but the top prize starts only at $60,000-80,000. This California Lottery draw also has more balls, 1-39, than the Florida Lottery game. There are 575,757 total possible combinations here. With 1-36 balls, the odd/even sets are Odd = 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39 Even = 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38 Players can make combinations with the patterns in this figure below. The same combinatorial groups from the Florida draw game exist in this California game. Yet, notice that the number of possible combinations, the probability value and estimated occurrence are different. This is because of the increased number of balls in the 5/39 lotto game. The easiest way to compare these groups, based on the table’s data, is through their estimated occurrences. The best option is 3-odd-2-even because of its ratio of success to failure of 17 to 33. It offers the highest number of ways to win at 194,940 and the least number of ways to lose at 380,817. The 2-odd-3-even pattern might have only 2 fewer occurrences in 100 draws than the 3-odd-2-even. Yet, you can lose in almost 11,000 more ways with a combination with 2 odd and 3 even numbers. The middle combinatorial groups are 4-odd-1-even and 1-odd-4-even. The best pattern has twice as many ways of winning than the 4-odd-1-even pattern. Meanwhile, the 1-odd-4-even group offers 2.5 times fewer ways of winning than the best pattern. The intelligent choice is easy to make when you are comparing 3-odd-2-even with 5-odd and 5-even. You can have a 3-odd-2-even combination that can appear more than 10 times in 100 draws than 5-odd or5-even. In 100 draws, you can lose 97 times with a 5-odd combination or 98 times with a 5-even combination. Clearly, the best choice will give you 34 winning opportunities out of 100 draws. The worst choice can give you only 2 opportunities to win. Therefore, select your combination so it can have 3 odd and 2 even numbers. Conversely, you must complete another analysis of your combination in order to make sure it will really bring you close to the goal. Look at your combination’s low and high number composition. A 5/39 game has Low = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 High = 21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39 See the low-high combinatorial patterns you can use here in the table below. The pattern with the highest probability value is a 3-low-2-high combination. Thus, this pattern with 194940 ways of winning can give you 34 winning opportunities from 100 attempts. Its ratio of 17 to 33 is slightly higher than that of a 2-low-3-high group, but still better. The 4-low-1-high and 1-high-4-low patterns respectively have 92055 and 77520 ways of winning. These values make them the middle choice of low-high combinatorial patterns in a 5/39 draw game. There are also 15504 combinations with 5-low pattern and 11628 combinations with 5-high pattern. The 5-low pattern offers 13 times less ways of winning than the 3-low-2-high. The 5-high group offers the smallest chance of winning, which is 17 times less than 3-low-2-high. This table above provides a useful reminder of how to choose numbers with the best low-high pattern. How should a player use this knowledge in actual play instances? It was Frank’s grandfather’s 15thdeath anniversary, and to relive the old man’s legacy in a way; he played his favorite lottery combination of 19-23-27-30-39. He recalls that when his grandfather was still alive, the old man went home and excitedly told them that his combination won. It was really not the jackpot prize since the old man only matched 4 out of 5 numbers of the winning combination. Still, the grandfather brought home about $400. Thinking that he would also be as lucky, Frank played the combination that his grandfather had played for more than 6 years. Is the combination lucky or does its combinatorial pattern contributed to its onetime almost-success in winning the jackpot? Let’s analyze 19-23-27-30-39 together. This combination follows a 4-odd-1-even pattern. From our discussion above, we have determined this pattern to be one of the middle choices for its ratio of 4 to 21. It also has 1-low-4-high pattern. This is likewise a middle choice among low-high combinatorial groups for the 5/39 game. In summary, 19-23-27-30-39 = (middle odd-even ratio + middle low-high ratio) You might think that Frank’s grandfather’s combination is good enough. Yet, Frank would probably get closer to winning the jackpot if he will change some numbers. One possible new combination he could use instead is 6-15-19-27-30 to use the best odd-even and low-high ratios. Use basic combinatorial analysis for Michigan Fantasy 5 too. The above information also applies to Michigan Lottery Fantasy 5, since it also has 1-39 balls in the number field. Michigan Lottery has different game mechanics and prize. Its starting jackpot is $100,000, which is higher than California Lottery’s. Here, you can buy $1-each ticket in-store and/or online. Playing online, there’s “Combo My Numbers” option. It is like a lottery wheel wherein you can choose 6-10 numbers. The system will auto-generate all possible combinations of your selected numbers. While this option might seem convenient, do you think it is also efficient? We discussed that there are thousands of possible combinations in the Fantasy 5 game. However, only a few are worth spending money on. Even if you limit the number field to only 10, not all combinations from these 10 numbers have the best odds. Basic combinatorial analysis helps you filter these combinations so you would know which the best to use are. It could be useless to use the combo feature when you play online because you would also pay for combinations that have worst or low ratio of success to failure. Stick to picking the 5 numbers on your own. This remains the helpful method since you can enter a combination with best or high odds. Remember Analyzing combinatorial groups is one example of when to apply the concept of combinatorial mathematics. This area of math allows us to group, count, arrange and select anything with a finite system. Combinatorial mathematics may apply to any object like fruits of animals; even numbers of balls in the lottery.Categorizing numbers as odd, even, low and high provides us with way to make accurate mathematical calculations. It is not exactly the strategy in itself. Combinatorial mathematics allows you to make optimized decisions according to given situations and details.Lotterycodex uses this principle as a foundation. It applies combinatorial and probabilistic theory for separating the good, the bad, the worst and the best combinations so you will know which will provide the best ratio of success to failure. Once you have played for combinations with the best odds, you simply save them. Then, use the feature “Use Favorite Purchase” instead of the “Combo My Number”. Combinatorial groups make playing the lottery more worthwhile. You get to see the future behaviour of the game and find the best combination that will let you have more winning ways. Let us also take a look at Arizona Fantasy 5. If you want to know how to play the Arizona Lottery Fantasy 5, you will find helpful game guide below. One ticket costs $1. The jackpot prize starts at $50,000. You can pay an additional $1-2 for a separate EXTRA game for a chance to win instant cash. The Arizona State Lottery makes playing the game more exciting. One in every 10 tickets will automatically have a DOUBLER symbol. It can make you win 2x the amount of non-jackpot prizes. However, players ought to be more concerned about winning the jackpot since it is the main goal for playing. Out of the total possible combinations of 749,398, there are only 15,504 combinations that comprise all 5 even numbers. Thus, you could expect this pattern to give you only 2 chances winning out of 100 attempts. You probably think that changing the combination into all 5 odd numbers is a good decision since you can make almost 5,000 more combinations. Yet, this change in pattern will increase in frequency of occurrence by just one. With 1-odd-4-even or 4-odd-1-even, you could have more chances to match the winning combination than the 5-odd or 5-even. The former may occur 14 times, while the latter can occur 16 times in 100 draws. Yet, do not find satisfaction from the odds offered by these median patterns. You can improve your games using combinatorial patterns with better odds. One alternative is a 2-odd-3-even pattern. Its odds are 2 times better than the 4-odd-1-even. The best choice of odd-even combinatorial pattern for a 5/41 game has 3 odd and 2 even numbers. It offers the highest winning opportunities of 34 from 100 attempts or draws. This is 8 times better than the odds from the 4-even-1-odd pattern; and 17 times better than the 5-even pattern. Thus, keep the reminders from the table above in mind whenever you play a 5/41 game. Play for combinations with 3 odd and 2 even numbers. Avoid combinations with 5 even numbers. This way, you can have more ways of winning and lesser ways of losing. Odd-even composition is just one part of the precise mathematical strategy for playing Arizona Lottery Fantasy 5. You should also consider the low-high composition of combinations. The 1 to 41 balls of this game gives us the number sets Low = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21 High = 22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41 This allows players to create possible combinations in 6 different patterns. Players can put all 5 high numbers or low numbers in a combination. Even with 15,504 or 20,349 (respectively) possible combinations, they can only have 1 -2 winning opportunities out of 50 attempts. They can also create combinations with 1-low-4-high or 4-high-1-low compositions. Yet these will still insufficient to bring them close to the jackpot despite over 10,000 ways to win. A good option is the 2-low-3-high combination. It has 239,400 ways of winning and 509,998 ways of losing. Nonetheless, the ideal choice of combinatorial pattern in a 5/41 draw game is 3-low-2-high. It has 2 more estimated occurrences than the 2-low-3-high pattern. It has more than 2 times better odds than 4-low-1-high or 1-low-4-high pattern. The 3-low-2-high pattern offers 12 times more ways of winning than 5-low. Most of all, it has 1.5 times fewer ways of failing than a 5-high pattern. Will you spend money on combinations that seem to flush money down the drain for most times you play? Always remember what the table above says. If you want to have the highest number of opportunities to match the winning numbers, play for 3-low-2-high combinations. Therefore, always practice caution when buying lottery tickets. Make sure you play for combinations that are worth spending money on. Jose is now 27 years old. When he was 21 years old, he dreamt that he planted an apple tree and this tree bore golden apples. He took this dream as a sign he will become rich one day. Yet, Jose knew there is no way he can plant a tree than can bear golden apples. Thus, he simply tried his luck in playing the lottery. He has been allotting money to buy tickets for the combination 7-8-9-10-21 since then. Has Jose been spending his money on a worthy combination through those 6 years of playing? According to odd-even analysis, 7-8-9-10-21 has a 3-odd-2-even pattern. Therefore, this combination is the best choice for odd-even composition. Regarding the low-high composition, 7-8-9-10-21 unfortunately has a 5-low pattern. This means it is one of the worst patterns to use in the 5/41 lottery game. 7-8-9-10-21 = (best odd-even ratio + worst low-high ratio) Hence, Jose has been spending his money aimlessly. He could have just started an apple-related business or he could have chosen a different combination with better odds, such as 8-10-21-34-36. You most likely realized by now that not because several games share the name “Fantasy 5” does not mean they are the same. They differ in the number of balls. Some state lotteries offering these games even come up with something that will make their games unique. Another version of the game is Georgia Fantasy 5. Our discussion here will not be complete without going into details about Georgia Lottery Fantasy 5. One game also costs $1 for this Georgia Lottery game where you choose 5 numbers from 1 to 42. The jackpot starts at $125,000. Tickets are available in-store and online. Add $1 for the Cash Match option for the chance of winning instant $500. While the instant cash is tempting, make sure you focus on how to choose your numbers well. From the number field of 1 to 42, players can create 850,668 possible combinations. Similar to the 5/36 game from Florida Lottery, the 6 combinatorial groups became 3 because 2 groups share the same odds. Players can make odd-even patterns out of Odd = 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41 Even = 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42 Patterns offering the best ratio of success to failure are 3-odd-2-even and 2-odd-3-even. They offer 279,300 ways of winning and odds of 1 to 3. The patterns that can provide an average ratio of success to failure are 4-odd-1-even and 1-odd-4-even. The best patterns offer 2 times better odds than these median patterns. The worst choices of pattern when playing a 5/42 game are 5-odd and 5-even. Their odds are 24 times lower than the 3-odd-2-even and 2-odd-3-even. With essentially three ratios of success to failure to choose from, choosing the best combinations could also become easier for some players. Let the table above serve as a reminder. If you wish to have more opportunities to match the winning combination, always create combinations based on 3-odd-2-even or 2-odd-3-even patterns. With 100 attempts, these patterns allow you to enjoy 33 winning opportunities. Would you agree that 33 winning opportunities are better than just 2 opportunities for the same number of draws? A logically thinking player would agree. Let us complete the mathematical strategy for playing a 5/42 game by also looking at the low-high composition of combinations. The selection of low and high numbers here would come from Low = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21 High = 22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42 Play for a combination with 3-low-2-high or 2-low-3-high pattern. They have highest frequency of possibly matching the winning combination, such as 33 times in 100 draws. Compared with 4-low-1-high or 1-low-4-high, they offer twice as many ways of winning. They also offer a more lucrative option than 5-low and 5-high patterns. They have over 20 times better ratio of success to failure. Always follow what the table above says. You have 1 to 3 odds of winning with 3-low-2-high or 2-low-2-high patterns. Would you play for a combination like 5-low or 5-high, knowing that you have more ways of losing with it? When choosing a combinatorial pattern, go with one with more ways of winning and fewer ways of losing. This pattern can take you closer to winning the jackpot. From a lottery article that Maynard read during his college days, he learned that one strategy player is the number sum. It explained that if the sum of the 5 numbers is 75-125; the combination has a good chance of winning. He has been following this tip ever since he started playing the Georgia Lottery Fantasy 5. His usual combination is 1-20-25-27-31. From the odd-even analysis, this combination can occur once in 7 attempts since it follows a 4-odd-1-even pattern. His 1-20-25-27-31 combination has a 2-low-3-high pattern so it can match the winning combination 33 times in 100 attempts. 1-20-25-27-31 = (middle odd-even ratio + best low-high ratio) This combination has a satisfactory performance, but Maynard could change his numbers to make the most out of combinatorial patterns. One possible new combination he could use is 1-5-20-25-27. RememberPicking a 5-even or a 3-odd-2-even combination does not change your single probability of winning. Still, it is better to play with a 3-odd-2-even combination. This is because it has a higher ratio of success to failure than a 5-even combination.There are 213,656 ways to lose from a 3-odd-2-even combination and 318,444 ways to lose from a 5-even combination. Hence, the one that can give fewer ways of losing is the better option. The randomness of lottery games, along with its deterministic quality, enables us to look into combinatorial groups more closely. This presents us with a precise way on how to choose our combinations despite the unchangeable probability. Basic combinatorial groups allow players to see how their chosen combinations will behave in future draws. They also give players the chance to make smart decisions based on accurate information. Making smart decisions can lead to playing with fewer mistakes, but more successes. Speaking of fewer mistakes, it is possible to feel perplexed from odd-even and low-high analyses. After all, there are thousands of combinations to examine. It is a good idea to simplify things, as much as possible. This way, you can avoid confusions that could muddle your deductions from basic combinatorial analyses. Advanced combinatorial design can help you play Fantasy 5 better. Thanks to basic combinatorial groups, you can now have a better way to play the lottery. With these, you can play with mathematical conviction rather than a blind hope for sheer luck. However, sometimes two opposing information may mislead a player. Let us use 1-2-3-4-5 as an example. From odd-even analysis, this combination is perfect because it has the best ratio from 3-odd-2-even pattern. Yet, it has the lowest ratio in terms of low-high analysis. The two analyses contradict one another. Should you just rely on the odd-even ratio and forget about the low-high ratio? You must definitely not. Keep in mind that these two analyses promote players to achieve the right balance of composition in their combination. A player would not achieve this critical balance if he skips one analysis because of the contradicting conclusions. You must always use odd-even and low-high deductions for every combination you analyze. Otherwise, you will only waste all your effort in creating your mathematical game plan. From our examples above, one option you can do is manually look for a number to substitute your original combination. Apart from being time-consuming, it could further lead to more confusing analyses. Thus, the better way to put the two critical analyses together is by using advanced combinatorial design of Lotterycodex. This advanced combinatorial design combines the two analyses together to eliminate possible confusions and contradictions. Engagingly, there is an advanced combinatorial design for each of the games we have tackled above. Continue reading to see how this works to your favor. This image above shows the Lotterycodex combinatorial design for a 5/36 game like Florida Lottery Fantasy 5. With basic combinatorial design, you manually list down or mentally imagine the odd, even, low and high number sets. Then, you choose the numbers from these sets based on the best patterns to use. You will find all the numbers from the sets conveniently re-grouped to form low-odd, low-even, high-odd and high even sets. Can you see that this system already eliminates possibilities of confusion through this number re-grouping right from the beginning? The discerning player will have a handy means for knowing if his numbers are worth the money and effort. It relives him from guessing which number will best fit. From the example above, Patricia’s original combination is 8-12-22-26-34. If she had known about advanced combinatorial system before she bought her tickets, she could have spent her $10 better. Using the advanced combinatorial design above, she would quickly know her combination is among the worst combinations to play. We thought that she could have instead played for 9-12-23-26-35 or 8-12-21-27-33. Yet, will these new combinations be of any value in the advanced combinatorial design? 9-12-23-26-35appears to be a good choice since its composition represents all the re-grouped number sets.8-12-21-27-33, however, is not a good substitute for Patricia’s first combination. Choose your numbers, as usual. All the possible combinations from these numbers will serve as the focus of advanced combinatorial analysis. The advanced combinatorial analysis will help you see the good/bad/worst/best patterns according to ratios of success to failure. You will have the chance to see, choose, and use Lotterycodex patterns to your advantage. The table below is just an incomplete list of the patterns for 5/36. Yet, you can already see which patterns can give amazing results. Pattern #53 has a ratio of 1 to 2,000. Thus, you have just one chance to win out of 2001 draws. With pattern #17, the ratio is 1 to 55. You could play for 56 daily draws, but thus pattern will occur only once. Then, there is pattern #1. It has 139 estimated occurrences in 2,000 draws. So, this pattern may appear once in 15 draws. There are 56 Lotterycodex patterns for this game and only patterns #1, #2, #3 and #4 are the best. Compared to the best pattern, other patterns take longer to appear, so using them in many games is not a beneficial idea. Advanced combinatorial design simplifies analyzing the odds of combinations. Despite not actually performing any complicated calculations, you will still achieve your goal to be near the jackpot. This image above for a 5/39 game shows there is a Lotterycodex combinatorial design for the California Lottery and Michigan Lottery Fantasy 5. Thus, you can use advanced combinatorial analysis for picking numbers that create combinations offering best ratios. Frank’s grandfather has an excuse for having played with a run-of-the-mill combination without a clue for years. Now, however, Frank could have searched the internet first before playing for the same combination 19-23-27-30-39. Basic combinatorial analysis allowed us to realize that this combination has a median ratio. Through the advanced combinatorial design, Frank would learn instantly that he must change the numbers if he wishes to make his effort worthwhile. Our suggestion was for him to use another combination like 6-15-19-27-30. From the table above, we see this combination requires another substitution. It still lacks the essential balance in composition. With the advanced combinatorial design, there is no need to guess or manually compute the odds of any new combination you want to use. Instead, you can go straight to using the patterns with the best ratio. If a 5/36 game has 4 best Lotterycodex patterns, a 5/39 game has 3. These are patterns #1, #2, and #3. Pattern #26 is a worst pattern to avoid. Why? It may happen 29 times in 2,000 draws. Thus, with a ratio of 1 to 69, it will only give you one winning opportunity every 70 attempts. The goal when using basic and/or advanced combinatorial analysis is to find a way to be wrong less when playing the lottery. Pattern # 5 has an estimated occurrence of 70 in 2,000 draws. Therefore, it has a ratio of 1 to 28. Pattern # 5 being a middle pattern is better than pattern #26 being a worst pattern. Middle patterns offer lesser ways of being wrong than the worst patterns. Therefore, you must choose any of the best patterns. Best patterns do not necessarily eliminate all possibilities of being wrong. Yet, they can offer players the least number of ways to fail. For instance, pattern #1 may occur 141 times in 2,000 draws. Its ratio is 1 to 13, which gives a much more reduced number of ways to fail. Do you want to know how advanced combinatorial analysis can help an Arizona Lottery Fantasy 5 player? Keep reading below. Here we have the Lotterycodex combinatorial design for a 5/41 draw game like Fantasy 5 from Arizona Lottery. Again, the odd, even, low and high numbers have been re-arranged. This helps a player to detect quickly if he needs to change his numbers or not. Using our relevant example above, we learned that Jose has been playing with 7-8-9-10-21 without an idea this is just a waste of resources. If he had known about advanced combinatorial design 6 years ago, perhaps he could have played better. His long-time combination of 7-8-9-10-21 has a bad selection of numbers, based on advanced combinatorial analysis. Our suggestion, based on basic combinatorial groups, was 8-10-21-34-36. Yet, this, too, lacks balanced representation that advanced combinatorial design focuses on. Therefore, Jose must pick numbers more cautiously in order to achieve his goal of harvesting “golden apples” in the form of jackpot prize. Through Lotterycodex patterns, making choices is easy. Knowing that there are 56 Lotterycodex patterns for a 5/41 game, which pattern should a clever player use? Will he do well with pattern #29? Pattern #29 gives him 20 chances to win in 2,000 draws. Thus, he has 1,980 ways to lose with this pattern. Can pattern #11 serve him well? For pattern #11, the estimated occurrence in 2,000 draws is 59. Therefore, he could lose 1,941 times using pattern #11. Should he go for pattern #1? Pattern #1 may occur 147 times in 2,000 draws. This gives him 1,853 possible losses. The target of this analysis is for a player to see which pattern will offer fewer ways of being wrong. Of the 3 patterns we just compared, pattern #1 has the least number of ways to lose. The best pattern has the highest expected occurrence among all patterns. It also has the least approximate interval, which can help improve your game plan. The Lotterycodex combinatorial design for a 5/42 game suits the Georgia Lottery Fantasy 5 game. Having such a reference would be helpful to any player who wants to ensure they can play with a precise strategy. Maynard’s 1-20-25-27-31 based on number sum strategy is the best combination among all the examples we looked at. It is not exactly the one with the best ratio since we determined it needs improvements. This is according to basic combinatorial analyses. Will it also turn out to be a good choice if Maynard uses an advanced combinatorial design as a basis? From the image above, 1-20-25-27-31 has no balance. We thought Maynard could do better by changing it to 1-5-20-25-27. Yet, this is also another unbalanced combination. Through advanced combinatorial analysis, players could avoid contradicting examination of combinations. This offers players a direct way to make well-informed conclusions and decisions. Using just the basic combinatorial analyses, you saw from the examples above that there are many possibilities a player can make. You thought that the changes you made are already enough as long as you use the pattern with best ratio. Yet, advanced combinatorial analysis revealed that the suggested combinations have similarly low odds as the original combinations. Therefore, you could say that advanced combinatorial design makes for a more meticulous scrutiny of combinations. This offers more reliable information to help players create a definitive course of action in playing lotteries. You have mathematically got details on which patterns are best, middle and worst. Thus, make the most appropriate decision based on these details. Knowing that pattern #35 has 16 occurrences out of 2,000 draws, you can only match the winning combination once in 126 game attempts. If you choose pattern #5, 71 occurrences in 2,000 draws will allow you to match possibly the winning combination once in 29 attempts. Picking pattern #1 lets you have 142 possibilities to win so you can play only 15 times and see this pattern appear once. The idea of using the best pattern means you do not have to play and waste money a lot of times before having the opportunity to win. For pattern #35, 125 attempts could mean 4-months worth of games before one opportunity could arise. Pattern #5 might appear after about one month of playing. Yet, the best option is still pattern #1 that can appear just after two weeks of daily games. Advanced combinatorial analysis also allows you to plan the timing of your games. If pattern #1 occurred today, it would most likely not appear tomorrow. Since you know the interval of its occurrence, you may skip playing on the days it will not appear. You can save money to buy more tickets the next best time to play for your combination. You should also use this as a helpful reminder for not availing the advanced plays options on the lottery playslip. Advanced plays are for consecutive draws. You just learned that even the best patterns would not appear in successive draws. You will only waste money when you choose advanced plays. Let me show you in details how these patterns work in my free guide: The Winning Lottery Formula Based on Combinatorics and Probability Theory Odds and probability are the fundamental concepts that make lotteries work. These lottery games are hard to beat because of these factors no player can change. Yet, through the help of combinatorial groups, patterns and analysis, you will see the lottery in a more vivid picture. This does not mean you will know the exact numbers that will win in the next draws. Instead, like what the first image above suggests, you will see which will dominate the draws according to the law of large numbers. Is there a way to predict the future winning combinations? There is no way one can predict future winning numbers in the lottery, unless there is a hocus pocus! On a more serious note, it is really impossible to know for sure what combination will win next. As we have agreed, lottery is random. There are probability and odds that influence this activity. It is an activity that could give you more negative outcomes than positive results. This emphasizes the need to be careful when playing, which leads us to the development of a precise and effective strategy. With a strategy, you increase the positive results out of playing lottery games and decrease the negative outcome. A mathematical strategy based on combinatorial mathematics will not necessarily make you the next winner. Rather, it will make you an intuitive player who uses his free will to judge based on accurately calculated facts. When you know what your options are, you would rationally choose the best. The best options in lottery games are combinations whose patterns have the best ratios of success to failure. Ratios will tell you which ones will take a lead in the game. Let us compare some patterns for a 5/36 game like the Florida Lottery Fantasy 5. One of the 4 best patterns is pattern #1. Expected occurrence (pattern #1) = 0.0696142093x 2,000 = about 139 occurrences Let us take pattern #5 to represent the middle patterns. Expected occurrence (pattern #5) = 0.0309396486x 2,000 = about 62 occurrences We use pattern #41 from the worst patterns. Expected occurrence (pattern #41) = 0.0030080214 x 2,000 = about 6 occurrences The computations above show that pattern #1, as the best pattern, will have the highest number of occurrences throughout the 2,000 draws. It can occur 23 times more than pattern #41 and more than 2 times than pattern #5. This is the same stream of events in the California Lottery and/or Michigan Lottery Fantasy 5. You can choose from 3 best patterns for this game. Whichever you choose, the best patterns will always have lead in terms of the expected frequency of occurrences. Pattern #1, as the best pattern, can offer Expected occurrence (pattern #1) = 0.0703421756x 2,000 = about 141 occurrences Occurring 141 times in 2,000 draws could also mean that pattern #1 will give you one winning opportunity every 14 draws or twice a month for Fantasy 5 with daily draws. Pattern #8 belongs to the middle patterns. Expected occurrence (pattern #8) = 0.0316539790x 2,000 = about 63 occurrences Out of the 2000 draws, pattern #8 can only let you match the winning combinations 63 times. This means you can expect to get this opportunity about once a month. Pattern #1 still offers the more favorable ratio. Look at pattern #35. Expected occurrence (pattern #35) = 0.0075031654x 2,000 = about 15 occurrences We could say that when you play using pattern #35, you make 134 attempts for that one opportunity to match the winning combination. The best pattern#1 could occur 9 times more than pattern #35. The best patterns will prevail over other patterns will continue as the number of draws further increase. Look at pattern #1 from the table above for a 5/41 game like Arizona Lottery Fantasy 5. Expected occurrence (pattern #1) in 2,000 draws = 0.0733922428x 2,000 = about 147 occurrences Expected occurrence (pattern #1) in 5,000 draws = 0.0733922428 x 5,000 = about 367 occurrences Computing for the expected occurrences of pattern #14 for 2,000 and 5,000 draws Expected occurrence (pattern #14) in 2,000 draws = 0.0270216894x 2,000 = about 54 occurrences Expected occurrence (pattern #14) in 5,000 draws = 0.0270216894 x 5,000 = about 135 occurrences Determining how often pattern #35 will occur in 2,000 and 5,000 draws Expected occurrence (pattern #35) in 2,000 draws = 0.0072057838x 2,000 = about 14 occurrences Expected occurrence (pattern #35) in 5,000 draws = 0.0072057838 x 5,000 = about 36 occurrences Pattern #1 will always occur 2.7 times than pattern #14. It will also provide more than 10 times occurrences than pattern #5. At the start of our discussion, you have known that odds and probability are the right tools to use when playing the lottery. Odds will give you the number of ways a combinatorial pattern could win and lose. Thus, you can use odds to pick combinatorial patterns that give more ways of winning, but fewer ways of losing. Probability completes your game strategy. Patterns #1 is one of the two ideal Lotterycodex patterns for Georgia Lottery Fantasy 5. Expected occurrence (pattern #1) in 2,000 draws = 0.0711205782x 2,000 = about 142 occurrences Expected occurrence (pattern #1) in 5,000 draws = 0.0711205782 x 5,000 = about 356 occurrences In the computations above, probability played the crucial role in frequency of occurrence of pattern #1 in the draws. Through the probability value of a pattern, you can gather data on its approximate interval in between occurrences. Let me remind you also that the approximate intervals are merely for guidance. There is no way for us to know the accurate gap in between actual draws. This is, again, because of the randomness of the lottery. Nonetheless, odds will help you create combinations with fewer losing ways. From the above calculations, probability helps you schedule your games. For pattern #1, the approximate interval is 14. Then, it would be useless to buy tickets during the days and draws it might not occur. It lets you decide to skip playing because it could take 14 draws before the pattern could appear again. Combinatorics and probability theory can make playing the lottery purposefully and systematically. This applies to all the versions of Fantasy 5. Yet, if you are wondering which of these versions offer the best odds, then it is the Florida Lottery version. This is because it has the smallest number field of 1-36 balls and the least total possible combinations of 376,992. Regardless of the number of total possible combinations, it remains an important task to consider the ratio of combinatorial groups. This is to know if you have more ways of winning or fewer ways of losing from your combination. Use the Lotterycodex calculator to save you from all these tedious and complex calculations. It is understandable that many people will remain doubtful about the benefits offered by combinatorics and probability in the lottery. After all, there are a lot of success stories involving unusual combinations in lottery games. Yet, did these players just have extreme luck or were their rare combinations just ripe for the winning? There are also coincidences in Fantasy 5 games. You could read here that a crowd favorite, in terms of lottery games, are combinations containing multiples of 7. Many people often play them, but they are yet to win in the draw games. Others also fondly use combinations with multiples of 5, 9 and 10. Patricia, from our example above, is not alone for choosing combinations based on what she saw on TV. The same report said that many players use the combination from an old TV series. Fantasy 5 games have hundred thousands of combinations. Players use non-random combinations like these from the table above in lottery games for different reasons. These are rare and unusual combinations that end up winning on some occasions. For instance, this report tells that 1-3-5-7-9 gave 98 successful players of Florida Fantasy 5, $1,995.32 each. From our discussion on basic combinatorial groups, we determined such pattern to have a low ratio of success to failure. So how come the combination won? The law of truly large numbers has an explanation for this. This law states that coincidences, strange events, and bizarre happenings occur given a lot of opportunities. In the lottery, 1-3-5-7-9 won because there has been a lot of draws already held for that game. From our expected occurrences tables above, you see that even the worst patterns may still occur at least once in several draws. Non-random combinations sometimes follow patterns that you can easily see. 1-2-3-4-5 is the classic example of a combination with a pattern of consecutive numbers. The combination used by the 98 winners above has a pattern with consecutive odd numbers from 1. Some patterns have the different version of this consecutive pattern, such as the multiples of 7, 5, 9 and 10 in the report. There are also players who use combinations whose patterns will make you stop and think a bit more. 21-26-30-33-35, for example, follows a pattern with interval of 5, 4, 3, and 2 between numbers. Regardless of what pattern these unusual combinations have, they often have low ratios of success to failure. The decision to play using these patterns and combinations despite their low odds is yours to make. Just keep in mind that it might take forever waiting for them to occur. It might take years before an unusual pattern to occur. As the article on favorite lotto numbers reported, combinations with multiples of 7 are yet to win. You now know that you can maximize your winning potential by making well-informed decisions. Thus, avoid anything, such as quick pick and superstitions, which will compromise your decision making. Do not rely on quick picks and superstitious beliefs. The Fantasy 5 report mentioned in the section above stated that one of the 98 winners held a quick pick ticket. This is just one incident that makes quick pick an enticing option for players. In fact, there are articles out there that even promote using quick pick because there were many such winners. However, is it really worth using quick pick combinations? When you mark the quick pick option on the playslip, you allow the lotto machine to use an algorithm for randomly picking your numbers. The machine will assign your ticket with a combination with no regards for any strategy. The machine does not follow any game plan, even the statistical tracking of hot and cold numbers. It is better playing the lottery with a precise plan on what combination to use and when to play. Do not exchange your ability to choose and decide for the convenience offered by quick pick. Another thing that can compromise this ability to make well-informed decisions is when you rely solely on superstitions to pick numbers. Some players avoid the numbers 13 or 4 because they believe it to be unlucky. The law of large numbers tell us that each number and combination in the lottery has an equal chance in the random draw. Thus, there are no hot/cold or lucky/unlucky numbers in the lottery. You may still consider superstitious beliefs out of respect for one’s culture. Carry a coin in your pocket if you like when you buy your tickets. You could also buy tickets from the store where you felt the lucky vibe. Yet, do not let them prevail over your logical choices of combinations with best winning odds. Always favor the smart way of playing to minimize your losses while enjoying playing the lottery. Always play with sense and responsibility. Lottery games like Fantasy 5 are for players’ entertainment. The entertainment starts when you buy a lottery ticket. The more tickets you buy, the higher the chances of winning. However, make sure not to exceed your budget or this entertaining game becomes a maiming habit. A solo player can only buy so many tickets, so why not start or join a lottery syndicate? You can invite relatives and friends so you can pool your money to cover more combinations. There are also established syndicates you can join. Whether you play solo or socially, always play for combinations with best ratio of success to failure. Choose to play with fewer chances of losing and more opportunities of winning. This is the only way you can spend your lottery budget wisely. The main aim of lottery players is to win the jackpot. In Fantasy 5, you could get a free ticket for matching 2 numbers in the winning combination. You might have played a lot of games already and feeling regretful for the money you have spent. Don’t you think it is time to make a change of plan on how you deal with lotteries? Responsible gaming involves not considering lottery games to make money. This is true if you a player. As a player, keep your expectations low and real. Most of the time, players will lose. Success rarely happens to lottery players. Georgia Lottery reminds that taking a break might be necessary when you no longer think that playing is fun. If you are tired of playing, discover about the inverse lotto strategy. This scheme will put lottery in a different perspective. If you have been spending money buying lottery tickets, this strategy can help you earn money from lottery tickets. The inverse lotto strategy does not refer to a single method only. Instead, this approach will make you aware of the different options for earning profits from lottery games. You could start by asking family members, friends or neighbors if you could buy the lottery tickets for them. Of course, you tell them in advance that this is a paid service. From the minimal fee you collect, you could accumulate enough money to spend on your own tickets. This way, you earn money from lottery games without giving up playing the games. There are other courses of action that the inverse strategy will teach you so you could earn profits from the lottery industry. Playing lottery games should be about fun. To enjoy the times you play the lottery, always play with a sensible mind. Keep firm in your hope that you will win the jackpot. Yet as you do this, do not disregard the importance of working hard to attain your goal. Working hard to win in the lottery is not about lighting wish candles in places of worship. A diligent lotto player is one who follows a clear-cut strategy for picking numbers and for timing his games. A smart and responsible lotto player knows that there is no way he can foresee future winning numbers. He is aware that there is no way to affect the winning probability in lotteries. Yet, he will not just play blindly because of these reasons. He will just consider these as catalyst to look for more effective gaming strategies. Hence, he will play will play with sense and responsibility by making the best choices. He will pick combinations while considering balance, which the number 5 signifies. To make the most out of lottery games, it is ideal to play with fewer chances of losing. Advanced combinatorial analysis is the key to find the combinations with the best odds. A smart player will not let the opportunity of using advanced combinatorial analysis pass by. He will make intelligent choices that will give him the best moments in playing lottery games.
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