Ohio Lottery And The Power Of Mathematical Gaming
Last updated on January 6, 2021
The Ohio Lottery distributes over $5.7 million in prizes every day. If you want to claim your possible share of this pot money, you have to be in it to win it. Do not simply play using your lucky numbers. Do you want to be one of its 350,000+ daily winners? Then prepare the best game plan.
Learn about how to use the power of math to achieve success, even if you hate math. Let’s start.
Don’t use statistics to analyze lotto game
It is hard to say when people started using statistics as a strategy. Supporters of this method analyze the lotto results from a specific duration (such as the previous 100 draws). This method supposedly allows them to determine the hot, cold, and warm numbers. From their observations, they predict which numbers will soon win.
It is possible that what they analyze from the past 100 draws is correct, but this strategy has loopholes. One loophole is that 100 draws are not sufficient sample data to analyze, given that there are thousands to millions of possible combinations in a particular lotto game. Their observation from 100 draws will definitely change with a substantial increase in the number of draws.
When trying to answer a problem, the first thing to do is analyze its nature and the available data to pick the most appropriate method to deal with it.
Suppose we have a box containing 20 balls you can’t see. The only information you know is that there are yellow, cyan, green, and gray marbles. You do not know how many balls there are for each color.
We can say that any question you ask is statistical. Thus, we could only surmise the composition of the balls in the box through sampling.
If we know how many balls there are for each color, such as 6 yellow, 6 cyan, 5 gray, and 3 green; thus, we could ask probabilistic questions.
In the same manner, we know how many numbers there are in a particular lotto game. Thus, the lottery is probabilistic instead of statistical. For example, the 6/49 lotto has 49 balls, and the 5/45 lotto has 45 balls.
Instead of a statistical question, we could ask a probabilistic question.
What is the probability that tomorrow’s draw results are 1-2-3-4-5-6? Or what is the probability that the winning combination has 3-low-odd and 3-low-even numbers?
Probability theory is the one that will help you become a better lottery player.
But aside from probability theory, other mathematical concepts can improve probability analysis, such as combinatorics and the law of large numbers.
With the lottery being random and having a finite number set (per specific game), we have adequate knowledge to calculate the probability of combinations and get the best possible shot to win the game.
This truly random nature of the lottery guarantees the precision of any performed mathematical calculation, based on the law of large numbers. Probability, together with combinatorics, will provide you with an accurate prediction so you will not shoot your arrow without a precise aim.
This is the same image you have seen in our previous article, A Visual Analysis of a Truly Random Lottery with a Deterministic Outcome. You could revisit and reread this post to understand more about computer simulations to analyze the lottery’s randomness.
Now, to ease your worries about some mathematical names and concepts I just mentioned, let me first provide you with their brief description. You will learn more about them as we continue our discussion.
Probability describes how likely an event (a combination in terms of the lottery) will occur.Combinatorics is the field of mathematics used as a primary basis of lottery mathematics.Law of large numbers or LLN states that with adequate trials, the actual results always converge on the expected theoretical outcomes.
Read The Winning Lottery Formula Based on Combinatorics and Probability to access more information.
Get a calculator to get you going in the right direction
To increase your chances of winning a game in the Ohio lottery, the only logical way is to buy more lottery tickets (of different combinations). This refers to the covering principle that eliminates concerns on hot and cold numbers or lucky and unlucky numbers.
Covering helps you trap the winning numbers. Choose as many numbers as you can and play every unique combination from your selection.
To take advantage of this covering strategy, you will need to use a computer program more commonly known as a lottery wheel.
There are many kinds of lottery wheels, and each has its own advantages and disadvantages. Below are some of them.
Full Wheel enables you to select more numbers. Choosing System 7 allows you to select 7 numbers. In a pick-5 lotto game, for instance, picking 7 numbers will create 21 possible combinations. The disadvantage of full wheels is the high cost of playing. Picking more numbers results in more combinations. More combinations mean buying more tickets to maximize your covering. If you pick 10 numbers, the total combinations will be 252. If you have 12 numbers, there will be 792 combinations.The minimal-type wheel or abbreviated wheel offers an economical solution but provides what seems to be consolation prizes. Satisfy a particular condition, and you have a guaranteed win from a minimum number of tickets. For instance, your selection contains all the winning numbers; you win a small amount. However, the trade-off here is the decreased probability of winning the jackpot. It moves you away from achieving your primary goal, which is to hit the jackpot.
If neither type of wheels work, what you need is a lottery wheel that uses probability and combinatorics. This wheel is the Lotterycodex calculator. Through this new lottery wheel, you can play at a minimal cost while playing with a better success to failure ratio of winning the grand prize (not just the consolation prize).
I will give you examples of how the calculator analyzes the games in the Ohio lottery.
But before that, you should first know the difference between numbers and combinations.
Know the difference between numbers and combinations
The first thing a player must know is the difference between a number and a combination to play the lottery. The image below shows this. Each ball in a lottery drum denotes each number in a particular lottery game. The combination is the set of numbers you will choose to play.
For example, in a 6/49 game, there are 49 numbers to choose from (1-49) to create your combination of 6 numbers. This knowledge of numbers and combination is the basic foundation for learning about their probability and odds that affect your chances of winning the jackpot.
Now that you know the difference let’s go deeper into the discussion of probability theory.
Let’s begin with the notorious 1-2-3-4-5-6 combination.
The 1-2-3-4-5-6 combination has the same winning probability as any other one
Each number and combination has the same probability of being drawn in the game. According to the law of large numbers, every number will converge in the same probability value when there is a huge draw size.
There will also be just one winning combination after the draw. Thus, there is only one way of winning the jackpot. To express this mathematically, we use the probability formula shown below.
In a classic 6/49 game, the combination 1-2-3-4-5-6 has an equal probability of getting drawn as the rest of 13,983,815 combinations. The same principle applies to Lucky for Life 5/48 and the Rolling Cash 5/39 games.
Knowing this, you might be ready to believe that there really is no other way to win except to pray harder for your lucky stars to shine brightly and grant your wish. However, while there is really nothing bad about praying, it is better to combine mathematical strategy with your unwavering faith.
So a mathematical strategy involves understanding the type of combination in a lottery game. Combinations are not created equally.
That said, let’s discuss now how your choice of combination could make or break your success.
The ratio of success to failure
A combination has composition. You can describe it according to the characteristics of the numbers it contains. Look at the examples in the image below.
This composition of every combination is what you should take advantage of.
From our discussion above, you know that every number and every combination has the same probability. But probability differs from odds. Knowing the difference lets you understand the game better and devise a good game plan.
From earlier discussion, probability measures how likely something is to happen. In a lottery, the probability is equal to the number of times a certain combination will get drawn divided by the total number of combinations.
Odds refer to the number an event will occur over the number an event will not occur. In the lottery, “odds” are the ratio of success to failure. The formula in the image below best represents this.
Let us say you will play in the classic 6/49 game. You will most likely not feel confident to play the combination 1-2-3-4-5-6, although you know that this has the same probability as other combinations. This is your logic telling you to be wary. Yet, if you fully understand the lottery’s mathematical laws, you know that such straight and sequential combinations are improbable events that might happen.
In a 6/49 game, you know that a combinatorial pattern could have all six numbers as odd or even. It can have 1-odd and 5-even numbers or 5-odd and 1-even. You can also pick 4-odd and 2-even numbers or 2-odd and 4-even numbers. A combination may also have 3-odd and 3-even numbers.
Using probability theory, we can distinguish which group of combinations is the best and the worst. Let us analyze the image above. This applies to 6/49 games like the Classic Lotto of Ohio Lottery.
Out of the 13,983,816 total combinations in a 6/49 game, the 6-odd combinations can give you 177,100 ways to win and 13,806,716 ways to fail. The probability of this combination (computing using the probability formula) is 0.012665 (rounded off). Thus, the expected occurrence of a 6-odd combination in every 100 draws of a 6/49 game is 1. This means that this type of combination will only occur once every 100 draws.
The same process applies when you want to determine the probability and estimated occurrence in 100 draws of other patterns. Therefore, the combination with the highest estimated occurrence in 100 draws is one with 3-odd and 3-even numbers in its composition.
Between a 6-odd and 3-odd-3-even combination, you are better off playing for the latter. Making a 4-odd-2-even pattern with 1,275,120 possible combinations has the expected occurrence of 25 in every 100 draws. Hence, this is the second to the best pattern you can use when choosing numbers to form a combination.
For the 3-odd-3-even combinations, there are 4,655,200 ways to win and 9,328,616 ways you could lose. The 6-odd combination offers 177,100 ways of winning and 13,806,716 ways of losing. You clearly have fewer ways of losing with a balanced combination of 3-odd-3-even than all 6 odd numbers.
This should make us realize that while we have no power in controlling the probability of winning, we can choose an action that will give us the best ratio of success to failure. Use this knowledge to choose combinations that will help you win and keep you from wasting money.
To develop a mathematical strategy for playing the lottery, you must choose the best ratio of success to failure. Thus, math is the only means that can show you what your options are. This is far more reliable than the lucky numbers on your astrological predictions or the supposed hot and cold numbers from past draw results.
The image above summarizes the best and the worst choices you can make when playing a 6/49 lottery game.
RememberAvoiding combinations such as 1-2-3-4-5-6 and choosing 3-low-3-high (e.g., 2-13-24-37-35-46) WILL NOT increase your chances of winning because all combinations have the same probability.BUT, you have the power to know how not to be mathematically wrong when playing the lottery.Choosing all low numbers will provide you with fewer ways to win and more ways to fail. Choosing a 3-low-3-high combination will give you more ways to win and less chance to fail.Clearly, the strategy is in the act of choosing the best ratio of success to failure.
Ratio analysis in the Lucky for Life game
In this game, there are 1,712,304 total combinations. The table below compares the respective ratio of success to the failure of the 0-odd-5-even and 3-odd-2-even pattern.
Using the pattern 0-odd-5-even, there are 42,504 ways to win and 1,669,800 ways to lose. The 3-odd-2-even pattern gives you 558,624 ways to win and 1,153,680 ways to lose. In every 100 draws, the 0-odd-5-even pattern will occur only twice, while the 3-odd-2-even pattern will occur 33 times. Thus, the 3-odd-2-even pattern gives the best ratio of success to failure, while the 0-odd-5-even pattern is the worst combination you could use.
Ratio analysis in the Rolling Cash 5
There are 575,757 combinations in this game.
When making a game plan for the 5/39 game like Rolling Cash 5, a mathematical strategy you can practically implement is to choose numbers using the pattern 3-odd-2-even. This offers the best ratio of success to failure. You can expect such a pattern to occur 34 times in every 100 draws.
If you do not want to flush your money down the drain, then avoid using 0-odd-5-even combinations. This is the worst choice out of all odd-even combinations for this game because it gives 11,628 ways to win and 564,129 ways to fail.
Math calculation provides you with a strategy for making correct choices.
For game analysis on Powerball, you may visit How to Win the US Powerball 5/69, According to Math.
Please read How to Win the U.S. Mega Millions 5/70 According To Math to understand Mega Millions.
The things we just discussed above are only an introduction to combinatorial patterns where we looked at how the composition of a combination affects the ratio of success to failure.
The following section will cover combinatorial patterns in more detail.
Odd-even analysis for 6/49, 5/48, and 5/39 games
From the introduction above on combinatorial patterns, you see that a combination could have odd and even number composition.
For the Classic Lotto, choosing either 6-odd-0-even or 0-odd-6-even patterns will turn the same expected number of occurrences, although their respective probabilities are slightly different.
The second to the worst pattern you could use is a 1-odd-5-even combination with expected 8 occurrences in 100 draws. It would help if you also avoid the 5-odd-1-even combination because it can only occur 9 times.
The balanced 3-odd-3-even combination is the best, but it pays to know that it is also good to use the 2-odd-4-even or 4-odd-2-even combination because you can expect them to match the winning numbers 23 and 25 times, respectively.
Next, let’s talk about the 5/48 game.
Out of the 1,712,304 combinations, a 5-odd-0-even or 0-odd-5-even pattern will give you 42,504 ways to win and 1,669,800 ways to fail. You only get 2 likely chances every 100 draws to get the jackpot with this pattern.
The 4-odd-1-even or 1-odd-4-even pattern each offers 255,024 ways to win and 1,457,280 to lose. You may match the winning combination 15 times every 100 draws.
The best mathematical strategy to use when playing the Lucky for Life game is to add 3-odd-2-even or 2-odd-even numbers in your lotto ticket. This offers the best ratio of success to failure. You have 558,624 ways to win and 1,153,680 to lose.
RememberThere is no difference in terms of probability whether you choose a 5-even or a 3-odd-2-even combination. Yet, it makes a significant difference to choose 3-odd-2-even instead of 5-even because of the former’s higher ratio of success to failure than the latter. In comparison, you have 213,656 ways to lose with the 3-odd-2-even and 318,444 ways to lose with 5-odd.
Next, let’s analyze the 5/39 game.
When playing Rolling Cash 5, keep in mind the hints offered by the table below.
The best combinatorial pattern to use when marking your number on a lotto ticket is 3-odd-2-even because you could match the winning combination 34 times in every 100 draws. You have 194,940 ways to win and 380,817 ways to fail.
The second best option is a 2-odd-3-even combination with 32 times expected occurrence in 100 draws. If there is a pattern you must avoid, it is the 0-odd-5-even combination because you have the highest 564,129 chances of losing in the game.
Low-high analysis for 6/49, 5/48, and 5/39 games
Using combinatorial patterns as a mathematical strategy for playing the lottery, do not incapacitate your success ratio by paying attention only using a balanced combination of odd and even numbers. The numbers in a lottery game may also be high or low.
In the Classic Lotto, for instance, we can divide all the balls into two groups.
Low = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25
High = 26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49
Just as odd and even numbers can affect a combination’s composition, high and low numbers also matter.
In the Classic Lotto, a 3-low-3-high pattern will yield the best ratio of success to failure. It offers the highest number of ways to win at 4,655,200 and the least number of ways to lose at 9,328,616. Your chosen combination using this pattern may occur 33 times out of 100 draws.
It is tough to accept that 9,328,616 is the ‘least’ number of ways to lose because it is still ‘millions.’ Yet, when you look at other low-high patterns for Classic Lotto, you will agree without a doubt. The 0-low-6-high pattern, for example, has the worst odds, giving you 134,596 ways to win and 13,849,220 ways to lose. This pattern may occur only once in every 100 draws. You can see the best and the worst low-high choices for Classic Lotto in the table below.
Next, let’s analyze the 5/48 game.
In the Lucky for Life lottery, we also divide the 48 balls into two groups to get high and low sets.
Low = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24
High = 25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48
You could choose all 5 numbers from the low set or all 5 from the high set to experience 42,504 ways of winning. However, do not think you are making a wonderful decision when you do this because this pattern will only occur twice every 100 draws.
Pick 4 from the low set and 1 from the high set or 1 from the low set, and 5 from the high set. Either combination pattern will increase the expected occurrence to 15 in every 100 draws. This is better than getting only two expected occurrences.
Incidentally, you can make the best decision when you implement the 3-low-2-high or 2-low-3-high pattern. This offers 558,624 ways of winning or expected occurrence of 33 times in 100 draws.
The image above shows the best and the worst choices you can make when picking your combination for the Lucky for Life game.
In the Rolling Cash 5/39, the two sets of numbers are
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
This table above compares every combinatorial pattern of low and high numbers for a 5/39 game. The pattern with the highest probability of 0.3386 is a 3-low-2-high combination that offers 194,940 ways of winning, although you could lose in 380,817 ways.
Still, this 3-low-2-high pattern remains the best shot for you in terms of low-high combination since a 2-low-3-high pattern has a slightly lower expected occurrence of 32 times in every 100 draws. When playing Rolling Cash 5, be wary not to choose pure low numbers or pure high numbers.
The importance of Lotterycodex patterns
Remember the 1-2-3-4-5-6 combination? In terms of odd-even analysis, you may consider this as one of the best combinations. Yet, it instantly fails the low-high analysis because all numbers are from the low set only.
You can see that there is a contradiction between low-high and odd-even analysis. The solution to this contradiction is to combine the two analyses into one combinatorial calculus.
In a Lotterycodex combinatorial design, the Classic Lotto will have the following number sets:
These are the four sets from which you must choose your numbers. From the combinatorial patterns that this lottery calculator will give you, you can see the best ones separated from the worst ones. We call these Lotterycodex patterns, guiding you in selecting the combinations you will play in the game.
Does your daily horoscope tell that today’s lucky number is 13, so you wish to add it to your game? There is really no solid guarantee that the number in your daily astrological prediction will bring you luck. Yet, the good thing here is that you may enter them as one number from the number sets. You could even enter your birth date or your vital statistics if you like. The calculator will perform precise computations based on the numbers you selected.
Let us look at the combinatorial patterns for the three Ohio Lottery draw games.
Patterns for Classic Lotto
There are 84 patterns for a 6/49 lottery. Yet, only 3 patterns are ideal to use. Using pattern #84 or #58 will take you far away from winning the jackpot. Based on the table below, it is quite obvious that the calculator allows you to know which combinations have the lowest and the highest ratio of success.
Playing the Classic Lotto using pattern #21 is not a smart decision. You will only end up wasting money unnecessarily. This could only occur 29 times in every 2000 draws or 74 times in every 5000 draws.
The best patterns to use when playing are patterns #1, #2, and #3. Pattern #1, for example, has the highest success ratio. Thus, it could match the winning combination in the 106 times it may occur in 2000 draws or 265 times in 5000 draws.
The patterns expand your horizon so that you could have a preview of the lottery’s future games, and you don’t need statistical analysis to achieve such precision and accuracy. Thus, you have a better gaming advantage than other players using traditional lottery playing methods.
Patterns for Lucky For Life
There are 56 patterns for the Lucky for Life Ohio Lottery, and only 4 of them can give the best results. It would not be helpful to use pattern #53 since it is one of the worst patterns for a 5/48 lottery. Its expected occurrence is just once in every 2000 draws and twice in every 5000 draws.
Pattern # 1 is one of the best patterns. You may be the jackpot winner in the 133 times it can occur in 2000 draws or 333 times in 5000 draws. Without this analysis, you are unaware that you are wasting money on useless combinations.
Patterns for Rolling Cash 5
Like the 5/48 lottery, a 5/39 game also has 56 patterns, but there are only 3 best to use. Through the patterns shown above, you realize that it is not worth spending money on pattern #35. Its expected frequency in 2000 draws is only 15 times and 38 times in 5000 draws.
Meanwhile, you have better hope with pattern # 11 as a middle pattern. It could occur 56 times in 2000 draws and 141 in 5000 draws. The best choice is pattern #1, #2, or #3. When you place your money on pattern #1, you have a high chance of being the jackpot winner in the 141 times it could occur in 2000 draws. You could win the jackpot in one of the 352 times in 5000 draws.
Join or start a syndicate
A lottery syndicate, as you could read from “An Introduction to Lottery Syndicate,” involves a group of lottery players pooling their resources to buy more tickets and agreeing to share among themselves (based on each member’s support amount) whatever prize they win.
It is worth mentioning again that purchasing more tickets means more covering. Playing the lottery…