How To Win Fantasy 5 According To Math

15 min readMar 3, 2022

Fantasy 5 is a game where you pick five numbers from 36 balls. To win the jackpot, one needs to buy a ticket. Easy. Well, not quite. It would be best if you had a strategy to win. And it should be based on mathematics.

The lottery is random, but it is mathematically deterministic. The image below suggests that a mathematical strategy exists.

The gray and white streaks represent combinations in a lottery. The image illustrates the random, but deterministic nature of a lottery game. — Source: A Visual Analysis of a Truly Random Lottery with a Deterministic Outcome

The evidence of streaks and clusters suggests that there is a way to take advantage of the lottery's randomness. In addition, there are ideas a player may use so he will not be mathematically wrong for most of the draws.

This page will show you a mathematical strategy to help you get the best shot possible.

Let's start, shall we?

Don't Use Statistics in Fantasy 5

A common strategy involves statistics, where players track hot and cold numbers. Some lottery websites even provide players with statistics. But, unfortunately, such information won't help players one bit.

Even though statistics is a mathematical tool, there are better tools to analyze a lottery game.

Now if statistics won't help, what will?

Let me show you then.

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.

Let me show you the difference between statistics and probability.

Mindy works in such a great company. Their boss would pass around a box containing ten orange, purple, and green balls every week. 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 brand-new earphones. Green is for a $50 gift check.

Employees need to learn 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 sampling, a common method in statistics, to infer the composition of the box.

However, the statistical method is not necessary when your knowledge is adequate. For example, if the boss revealed five orange balls, two purple, and three green. Therefore, based on these details, any question Mindy would ask is a probability problem to solve rather than a statistical one.

Thus, she can calculate her probability of getting a $50 GC without using the sampling method.

The lottery is just like the second scenario. A lottery game is a finite game. You know how many balls there are and how many numbers you must pick to win.

And with the help of combinatorial mathematics, you can use probability theory to analyze how Fantasy 5 works in a random draw.

The Importance of Ratio

No one could predict which combinations would win in the next draw. Nonetheless, a mathematical game plan will help bring this winning chance close to your grasp.

The probability of winning in the lottery is that your chosen combination will match the winning combination. The formula below helps determine this.

Probability is the ratio of favorable combination over the total combinations.

This formula goes for any combination you choose. To increase your chances of winning, you can buy more tickets.

However, no strategy exists when you think about probability since all combinations have the same chance of winning. For example, Florida Lottery Fantasy 5 has 376,992 possible combinations. Therefore, each combination has an equal probability.

Fortunately, you can look at the lottery differently. So this is the best time to pay attention to the concept of odds.

Odds and probability are two different things and are not mathematically equivalent.

Odds determine the ratio of the likelihood that an event will happen to the likelihood that it will not happen. Hence, odds also refer to the ratio of success to failure. The formula for odds is:

Odds is the ratio of favorable combinations over unfavorable combinations.

With odds, it lets you understand more about the game so you can find the best way to deal with it. And the best way to understand your game is through combinatorial 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. Therefore, your job as a lotto player is to ensure your combination belongs to this group with a high ratio of success to failure.

Let me illustrate this using odd and even numbers.

In a Fantasy 5 game with 36 balls, the best choice of combinatorial group has 3-odd-2-even composition because it has 124,848 ways to win and 252,144 ways to fail. In contrast, the worst choice of combination has 5-even numbers because of its 8,568 ways to win and 368,424 ways to fail.

For the Fantasy 5 game, the ideal combination to spend money on is one with three odd and two even numbers. The worst combination is one that comprises five even numbers.

When you play for a combination with 3-odd-2-even, notice you have more favorable shots than the 0-odd-5-even group.

The key concept is to have fewer ways of losing and get more shots of winning. It's all about being wrong less for the majority of the draws.

In our example above, a 3-odd-2-even combination gives you 124,848 favorable shots compared to the 0-odd-5-even group, with only 8568 shots. As a Fantasy 5 player, you don't want to buy tickets and realize you only get one shot in 44 attempts.

For example, if you regularly played this combination 2–24–18–22–30 each week, then you've been wasting money 44 weeks before getting a favorable shot.

It is understandable for you to feel regretful after realizing you wasted your money. But, unfortunately, the combination you have been using for years turned out to have a better ratio.

Remember: Playing a combination that belongs to a group with the best ratio of success to failure will not guarantee a jackpot win. However, being aware of this provides you with a choice not to be wrong. Of course, you cannot beat the odds, but mathematically you have the power to avoid combinations that will only put your money down the drain.

In a lottery game, we analyze combinatorial groups and the ratio of success to failure to help you make the right choice. If this action is ideal, you may choose not to play Fantasy 5.

Lotterycodex Advanced Combinatorial Design

Thanks to basic combinatorial groups, you can now have a better way to look at the Fantasy 5 games differently.

However, sometimes two separate analyses may mislead a player.

Let us use 1–2–3–4–5 as an example. This combination is perfect for odd-even analysis because it has the best balance of a 3-odd-2-even pattern. Yet, it has the worst ratio in terms of low-high analysis. The two analyses contradict one another.

Thus, the better way to analyze a lottery game is by using an advanced combinatorial analysis called Lotterycodex. This advanced combinatorial design combines the two analyses to eliminate confusion and contradictions.

Let's describe how Lotterycodex works below:

The Lotterycodex combinatorial design for Florida Lottery Fantasy 5 includes low-odd, low-even, high-odd and high-even sets. Low-odd set contains 1, 3, 5, 7, 9, 11, 13, 15, 17. Low-even includes 2, 4, 6, 8, 10, 12, 14, 16, 18. The high-odd comprise 19, 21, 23, 25, 27, 29, 31, 33, 35. The high-even involve 20, 22, 24, 26, 28, 30, 32, 34 and 36. — Source: Lotterycodex.com

The image above shows the Lotterycodex combinatorial design for a 5/36 Florida Lottery Fantasy 5.

All the numbers from the sets are conveniently re-grouped to form low-odd, low-even, high-odd, and high-even sets.

The advanced combinatorial analysis will help you see the good/bad/worst/best patterns according to their success and failure ratios.

The table below is just an incomplete list of the patterns for a 5/36 game. Yet, you can already see which patterns can give amazing results.

This is an incomplete list of Lotterycodex patterns for a 5/36 game. Pattern #1 may occur 139 times in 2,000 draws or 348 in 5,000 draws at an approximate interval of 14. The estimated occurrence of pattern #17 is 36 in 2,000 draws with interval of 55. For pattern #53, the estimated interval is 2,992, so it could only appear once in 2,000 draws. — Source: Lotterycodex.com

Pattern #53 offers one favorable shot to win out of 2000 draws.

With pattern #17, you could play for 56 daily draws and give yourself only one shot to win the jackpot. However, still needs to be a better ratio of success to failure.

Then, there is pattern #1. It has 139 estimated occurrences in 2,000 draws. This pattern gives you more opportunities to win every 15 draws. So therefore, this pattern will get you closer to winning the jackpot.

There are 56 Lotterycodex patterns for this game, and only patterns #1, #2, #3, and #4 are the best.

Let's go to the 5/39 Fantasy game.

The Florida Lottery and Michigan Lottery Fantasy 5 Lotterycodex combinatorial design includes low-odd, low-even, high-odd and high-even sets. Low-odd set contains 1, 3, 5, 7, 9, 11, 13, 15, 17, 19. Low-even includes 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. The high-odd comprise 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 37. The high-even involve 20, 22, 24, 26, 28, 30, 32, 34, 36, 38. — Source: Lotterycodex.com

This image above for a 5/39 game applies to California Lottery and Michigan Fantasy 5.

With the above sets, we separate the worst from the best.

There are 56 Lotterycodex patterns for a 5/39 game. The best patterns #1, #2 and #3. Middle patterns are #4, #5, #6, #7, #8, #9, #10, #11, #12, #13, #14, #15, #16, #17, #18, #19, #20, #21, #22, #23, #24, and #25. The worst patterns are #26, #27, #28, #29, #30, #31, #32, #33, #34, #35, #36, #37, #38, #39, #40, #41, #42, #43, #44, #45, #46, #47, #48, #49, #50, #51, #52, #53, #54, #55, and #56. — Source: Lotterycodex.com

A 5/39 game has three best patterns. These are patterns #1, #2, and #3.

The goal when using combinatorial analysis is to be right when playing the lottery.

Therefore, you must choose any of the best patterns. Unfortunately, best patterns only sometimes eliminate all possibilities of being wrong. Yet, they can offer players the least number of ways to fail.

Let's go to Arizona Lottery Fantasy 5.

In Arizona Lottery Fantasy 5, Lotterycodex combinatorial design has low-odd, low-even, high-odd and high-even sets. Low-odd set contains 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21. Low-even includes 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. The high-odd comprise 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 37, 39, 41. The high-even involve 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40. — Source: Lotterycodex.com

Again, the odd, even, low, and high numbers have been re-arranged using the Lotterycodex combinatorial design.

Then, we determine the combinatorial groups according to their composition and describe them as Lotterycodex patterns.

Through Lotterycodex patterns, making choices is easy.

This is an incomplete list of Lotterycodex patterns for a 5/41 game. Pattern #1 may occur 147 times in 2,000 draws at a fairly accurate interval of 14. The estimated occurrence of pattern #17 is 44 in 2,000 draws with interval of 45. For pattern #32, the estimated interval is 114, so it could only appear 18 times in 2,000 draws. — Source: Lotterycodex.com

Knowing that there are 56 Lotterycodex patterns for a 5/41 game, it's good to know that you only need to focus on pattern #1.

Of all the patterns, pattern #1 has the least ways to lose and more favorable shots for you to win.

Let's go to the 5/42 Georgia Fantasy 5 game.

Low-odd, low-even, high-odd and high-even are the number sets in the Lotterycodex combinatorial design for 5/42 game. Low-odd set contains 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21. Low-even includes 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. The high-odd comprise 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 37, 39, 41. The high-even involve 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42. — Source: Lotterycodex.com

In a 5/42 game, there are only two best combinations, as shown below.

There are 56 Lotterycodex patterns for a 5/42 game. The best patterns #1 and #2. Middle patterns are #3, #4, #5, #6, #7, #8, #9, #10, #11, #12, #13, #14, #15, #16, #17, #18, #19, #20, #21, #22, #23, #24, and #25, #26, #27, #28. The worst patterns are #29, #30, #31, #32, #33, #34, #35, #36, #37, #38, #39, #40, #41, #42, #43, #44, #45, #46, #47, #48, #49, #50, #51, #52, #53, #54, #55, and #56. — Source: Lotterycodex.com

You have mathematically got details on which patterns are best, middle, and worst. Thus, you can make the most appropriate decision based on these details as a player.

Knowing that pattern #35 has 16 occurrences out of 2,000 draws, you can match the winning combination once in 126 attempts.

Picking pattern #1 lets you have 142 possibilities to win, and you don't have to wait for 126 draws to get that one favorable shot.

The idea of using the Lotterycodex pattern means you do not have to waste money many times before having that one good shot.

The Lotterycodex combinatorial analysis also allows you to skip some games. For example, if pattern #1 occurred today, it would likely not appear tomorrow. You can save money then. I learned that even the best patterns do not likely appear in successive draws. It's not impossible, though.

These lottery games are hard to beat because of their random nature. Yet, through the help of combinatorial analysis, you will see what composition of numbers dominates most of the draws according to the law of large numbers.

Predict the Outcome of Fantasy 5?

There is only a chance to predict future winning numbers in the lottery if there is a hocus pocus!

The draw is random. It gives you more negative outcomes than positive results. This emphasizes the need for a precise and effective strategy.

A mathematical strategy based on combinatorial mathematics and probability theory will not necessarily make you the next winner.

However, a math-based strategy will make you an intuitive player based on accurately calculated facts. When you know your options, you will choose the best.

The best options in lottery games are combinations whose patterns have the best ratios of success to failure. Then, you can choose the one with more favorable shots.

Let's look at a Lotterycodex analysis of a Florida Lottery Fantasy 5.

This is a table showing the Lotterycodex patterns and their respective probability value, expected frequency in 2,000 and 5,000 draws and approximate interval for 5/36 draw games. Pattern # 1 has a probability value of 0.0696142093 so it may occur 139 times in 2,000 draws. There is an approximate interval of 32 in between the estimated occurrences of 62 in 2,000 draws for pattern #5.Pattern #41 can appear only 15 times in 5,000 draws and has a probability value of 0.0030080214. — Source: Lotterycodex.com

Let's compare pattern #1, pattern #5, and #41.

Pattern #1 = 0.0696142093 x 2,000 = about 139 occurrences

Pattern #5 = 0.0309396486 x 2,000 = about 62 occurrences

Pattern #41 = 0.0030080214 x 2,000 = about 6 occurrences

The computations above show that pattern #1 will have the highest occurrences in 2,000 draws. This means you get more favorable shots with pattern #1.

The same holds for the California Lottery and Michigan Lottery Fantasy 5.

This is a table contains the 5/39 Lotterycodex patterns and their respective probability value, expected frequency in 2,000 and 5,000 draws and approximate interval. Pattern # 1 has a probability value of 0.0703421756 so it may occur 141 times in 2,000 draws. There is an approximate interval of 36 in between the estimated occurrences of 56 in 2,000 draws for pattern #11.Pattern #41 can appear only 38 times in 5,000 draws and has a probability value of 0.0075031654. — Source: Lotterycodex.com

Pattern #1 = 0.0703421756 x 2,000 = about 141 occurrences

Occurring 141 times in 2,000 draws could also mean that pattern #1 will give you one favorable shot every 14 draws or twice a month for Fantasy 5 with daily draws.

Pattern #8 = 0.0316539790 x 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 one favorable shot about once a month. Pattern #1 still offers the more favorable ratio.

Pattern #35 = 0.0075031654 x 2,000 = about 15 occurrences

When you play pattern #35, we could say that you make 134 attempts for that one favorable shot.

You can see from this table containing the 5/41 Lotterycodex patterns and their respective probability value, expected frequency in 2,000 and 5,000 draws and approximate interval. Pattern # 1 has a probability value of 0.0733922428 so it may occur 147 times in 2,000 draws. There is an approximate interval of 57 in between the estimated occurrences of 35 in 2,000 draws for pattern #20.Pattern #35 can appear only 36 times in 5,000 draws and has a probability value of 0.0072057838. — Source: Lotterycodex.com

As you can see, the best patterns will prevail over others and dominate as the drawing continues.

Look at pattern #1 from the table above for a 5/41 game like Arizona Lottery Fantasy 5.

Pattern #1:

In 2000 draws = 0.0733922428 x 2,000 = about 147 occurrences

In 5,000 draws = 0.0733922428 x 5,000 = about 367 occurrences

Pattern #14:

In 2,000 draws = 0.0270216894 x 2,000 = about 54 occurrences

In 5,000 draws = 0.0270216894 x 5,000 = about 135 occurrences

Pattern #35:

In 2,000 draws = 0.0072057838 x 2,000 = about 14 occurrences

In 5,000 draws = 0.0072057838 x 5,000 = about 36 occurrences

Pattern #1 will always dominate as the lottery draw continues up to infinity.

Let's take a look at this 5/42 game below:

The values in this table will allow you to compare the 5/42 Lotterycodex patterns, their respective probability value, expected frequency in 2,000 and 5,000 draws and approximate interval. Pattern # 1 has a probability value of 0.0711205782 so it may occur 142 times in 2,000 draws. There is an approximate interval of 52 in between the estimated occurrences of 39 in 2,000 draws for pattern #21.Pattern # can appear only 39 times in 5,000 draws and has a probability value of 0.0077586085. — Source: Lotterycodex.com

Pattern #1:

In 2,000 draws = 0.0711205782x 2,000 = about 142 occurrences

In 5,000 draws = 0.0711205782 x 5,000 = about 356 occurrences

In the computations above, probability played a crucial role in the frequency of occurrence of pattern #1 in the draws. Through the probability value of a pattern, you can gather data on its approximate interval between occurrences.

Let me remind you also that the approximate intervals are merely for guidance. We need to find out the accurate gap. This is, again, because of the randomness of the lottery.

Combinatorics and probability theory can make playing the lottery purposefully and systematic.

If you are wondering which of these versions of Fantasy 5 offers the best odds, then it is the Florida Lottery version. It has the smallest number field (1–36 balls) and the least number of possible combinations (376,992 combinations).

Regardless of the number of possible combinations, considering combinatorial groups remains an important task. This is to know if you have more favorable shots or fewer ways of losing.

Use the Lotterycodex calculator to save you from all tedious and complex calculations.

Coincidences and Unusual Combinations in Fantasy 5 Games

A crowd favorite is a combination containing multiples of 7. Read here.

Others also fondly use combinations with multiples of 5, 9, and 10. From our example above, Patricia is not alone in 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 hundreds of thousands of combinations.

In a 5/36 game, there are non-random combinations with easily noticeable patterns like 1–2–3–4–5, 3–7–9–12–15 and 1–2–11–12–21–22. There are also those with patterns that are not easily recognizable, such as 2–4–7–11–16, 7–24–27–28–29 and 21–26–30–33–35.

Players use non-random combinations from the table above in lottery games for different reasons. These are unusual combinations that end up winning on some occasions.

For example, the report states that the combination of 1–3–5–7–9 resulted in 98 Florida Fantasy 5 lottery winners, each receiving a prize of $1,995.32.

The law of truly large numbers has an explanation for this. This law states that coincidences, strange events, and bizarre happenings occur, given many opportunities.

In the lottery, 1–3–5–7–9 won because there were a lot of draws already held for that game. From our expected occurrences tables above, you see that even the worst patterns may 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 different versions of this consecutive pattern, such as the multiples of 7, 5, 9, and 10.

Some players use combinations whose patterns make you stop and think more. For example, 21–26–30–33–35 follows a pattern with 5, 4, 3, and 2 intervals between numbers.

Regardless of these unusual combinations' patterns, they often have low ratios of success to failure. For example, as the article on favorite lotto numbers reported, combinations with multiples of 7 are yet to win.

Do Not Rely on Quick Picks and Superstitious Beliefs

The Fantasy 5 report mentioned 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. Some articles even promote using quick pick because there were many such winners.

Is it 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 regard for any strategy.

It is better to play the lottery with a precise plan on what combination to use and when to play.

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 them unlucky. However, the law of large numbers tells us that each number and combination in the lottery has an equal chance in the random draw. Thus, the lottery has no hot/cold or lucky/unlucky numbers.

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 feel the lucky vibe.

Yet, keep them from prevailing over your logical choices of combinations. Always favor mathematics.

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, stay within your budget, or this entertaining game will become 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.

Always play for combinations with the best ratio of success to failure, solo or socially. Choose to play with fewer chances of losing and more shots 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 two numbers in the winning combination.

You might have played many games already and regretted the money you spent. Is it time to look at your Fantasy 5 game differently?

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 us that taking a break might be necessary when you no longer think playing is fun. If you are tired of playing, use the inverse strategy. This strategy can help you earn money from lottery tickets.

You could start by asking family members, friends, or neighbors if you could buy tickets for them. Of course, you tell them this is a paid service in advance. From the minimal fee you collect, you could accumulate enough money to spend on your tickets.

This way, you earn money from lottery games without giving up playing the games. 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, consider the importance of working hard to attain your goal.

A smart and responsible lotto player knows that there is no way he can foresee future winning numbers. Therefore, he knows there is no way to affect the winning probability in lotteries. Yet, he will not just play unthinkingly because of this reason.

The Lotterycodex combinatorial analysis is the key to finding the combinatorial group with better shots. Use that combinatorial group to guide you in picking your numbers.