Last updated on January 2, 2021
You spend $1-2 a day for a Virginia Lottery ticket using your favorite numbers.
It’s still worth it since I can donate to the Commonwealth’s K-12 public schools.
You tell this to yourself each time you lose.
Nothing seems wrong except to realize it’s time to stop because the desperation from losing is not worth your charitable justification.
You are better off stopping than developing an unpleasant habit of trying to recover huge losses.
However, let me first show a better way of playing the game before finally saying, “I’m done buying lottery tickets.”
I cannot tell exactly when you will win, but I can explain how you could play your game with the best shot possible.
Learn to use a mathematical strategy for winning the lottery.
Are there tools you can use to win in the Virginia lottery?
There are, but definitely, statistics is not one of those tools.
Let me explain.
Every Virginia Lottery draw game has a specific web page where you can see its rules, prizes, and past numbers. Click on “Past Numbers” to sight previous winning numbers.
Crunch the Numbers. This option caught my attention.
This option lets users see the statistics for each ball in the game. For example, there are 41 balls in Cash 5, and the “Crunch the Numbers” button will give the statistics for each of these balls.
You will know the number of times they have drawn each ball over several draws. Therefore, this option serves a good purpose for players who rely on lotto game statistics to determine hot and cold numbers.
Statistics is a method that many lotto players have long been using to select the numbers they will mark on their play slips. The question, however, is if this method really works.
Interestingly, the number-crunching option also provides an important disclaimer. “Remember that every draw is random and that each number has the same chance as any other of being selected,” it says.
This reminder agrees with the basis of our discussion. The image above is a visual representation of the lottery’s randomness.
Statistics may actually show the frequently and infrequently appearing numbers in 100 previous draws. This observation will change with a significant number of draws. The dots will change from white to gray to dark gray and then red, as you can see in this article.
Each of these lotto numbers will converge around the same frequency with plentitude draws. This proves the law of large numbers. Therefore, there are no hot and cold numbers.
Statistical analysis will never work in any Virginia lottery game. This is a fact that many players still refuse to believe.
What will work in the lottery then?
In front of you is a leather bag.
This bag contains 10 marbles.
The marbles come in red, yellow and blue.
You can use statistics and the sampling method to determine the exact number of marbles in each color.
In contrast, statistical sampling is not an applicable tool for games like the lottery. Remember that in a lotto game, you definitely know how many balls there are. In Cash 5, Bank a Million, and Cash4Life of the Virginia State Lottery, players also know how many numbers they can pick.
The lottery is random, yet, the lottery’s randomness and finite structure are what players may take advantage of if they want to one day win.
The lottery is like a battle, competition, or match. You must create a fighting strategy that considers every move or attack, so you will know which ones will work best on your opponent.
In a lottery, your possible attacks are the possible combinations you can create out of your number choices. Your fighting strategy is applying combinatorics and probability theory to pick the combination with the best odds of winning.
Remember this; we don’t use statistics in a finite game like the lottery; the right tools to use are combinatorial math and probability theory.
There are two primary mathematical concepts to learn and embrace to play the lottery with confidence rather than to play with your fingers crossed. These are probability and odds.
It is crucial to keep in mind that odds and probability are two different mathematical terms. Each has a different meaning in the lottery.
If you recall, back in school days, your math teacher discussed these topics as a pair. I believe this is because people ought to apply them together in many real-life situations like the lottery.
Probability numerically describes the likelihood that an event will occur. Odds numerically describe the ratio of success to failure, which means the number of ways an event occurs against the number of ways it will not occur.
In lotteries, the formula for probability is
For example, the Cash 5 game of Virginia Lottery has a total combination of 749,398. The probability that you will win in this game is 1 in 749,398.
The same is true, with Bank a Million. There are 3,838,380 combinations here, so the probability of winning is 1 in 3,838,380.
In the Cash4Life game, the total combinations without the Cash Ball are 5,461,512, so the probability a player will win is 1 in 5,461,512.
No matter the game and no matter what combination you play for, this probability does not change. Unfortunately, many players rely on pure luck to help them get over this probability fact.
For them, it does not matter whether they play with a strategy since the outcome will either be a win or a loss for them. This mindset will only make you lose money unnecessarily.
It is good to have a strong will not to chase your losses and avoid developing a compulsion. Otherwise, plan your games well so you can spend money well. This is where you must develop a mathematical strategy based on the ratio of success to failure or what we call odds.
To compute for odds in a Virginia lottery game, the formula below applies:
Considering just the possibility of winning and not thinking about the odds can waste your chances.
In Cash 5, you can use the combination 1-2-3-4-5. For Bank a Million, a player may use a combination like 4-8-12-16-20-24. You may also mark the numbers 8, 14, 22, 28, and 32 on a Cash4Life ticket.
Your number selection could be all odd or even numbers or a mix of odd and even numbers.
Referring to the table above, the 1-2-3-4-5 combination for Cash 5 contains 3-odd and 2-even numbers. Since there are 749,398 combinations for this game, this combination offers the odds of 252,700 ways to win over 496,698 ways to lose. Thus, odds refer to the ratio of success to failure.
Let us see how the player’s 4-8-12-16-20-24 will fare in the Bank a Million game. From the table above, this combination belongs to the 0-odd-6-even group, which only gives 38,760 ways of winning, but 3,799,620 ways of failing. Thus, it is one of the worst choices of combination to play.
What can you learn from these examples? That you do not necessarily have to think you have only one way to win, and there is no way to get around it. Realize that you have a choice. You can always make a better choice. Choose the combinations with the most favorable ratio of success to failure. This is better than arbitrarily picking numbers because there are only 2 probable outcomes.
RememberTo achieve the goal of winning in the lottery, know the ratio of success to failure. No one can control the underlying probability of lotteries. None can beat the lottery’s odds. Yet, a perceptive lotto player will use his power to know and make the right choice. He may even choose not to play if he perceives it to be the best action.
To make the most out of your lotto entertainment money, you need to pay for tickets with carefully selected combinations of numbers. This applies to Cash4Life and other lotto games too.
Careful selection means minding whether the number you mark on the ticket is an odd or an even number. After all, your combination’s odd-even composition will determine how many opportunities you could have over many draws.
Our example above for Cash4Life, 8, 14, 22, 28, and 32 are all even numbers. Based on the table above, a 5-even combination is the most terrible number selection because this could match the winning combination out of 38 play attempts.
Without considering the ratio of success to failure before choosing the numbers, you will have more chances of betting on the wrong combinations. Through a mathematical strategy, there will be fewer times you will choose the wrong combinations.
You will have more times to play with combinations that have more opportunities to match the winning combination. If you are a smart player, would you waste this opportunity? No.
Thus, learning more about combinatorics and probability will be a clever decision.
Introducing, the combinatorial groups in Virginia Lottery games
The finite structure of a lottery comes from the pick size and number field of each game.
The Virginia Lottery reminds us that every number has an equal opportunity in the draws. This is because each ball in the drum shares the same texture, weight, and size as the other balls.
No biases favor one ball (or some balls) over the others. Yet, with only one ball or number, you cannot play the lottery. You must complete the required pick size to play for a combination.
In Cash 5, the number field is 1-41, while the pick size is 5. Therefore, you must have the best combination of 5 numbers from the options of 1 to 41.
Bank a Million has 1 to 40 balls from which you must create a 6-number combination.
The number field in Cash4Life is 1 to 60. Its pick size is 5, so play for a combination containing 5 numbers.
A player must know this basic information about numbers and combinations because this will help him appreciate using a combinatorial group in playing the lottery with the best shot at the jackpot.
Remember that a combination contains numbers. In a lottery game, a number could be odd or even and low or high. The quantity of odd-even, low-high numbers will determine a combination’s composition.
Composition gives a combination with its distinctive characteristic that corresponds to its ratio of success to failure. This should be the focus of your strategy for Virginia Lottery games.
This composition will then put each lotto game’s combination according to its group. The previous images above showed some of these combinatorial groups (you will see more of these groups below).
RememberThere is only one probability of winning regardless if you play with a 3-low-2-high or a 5-low combination. The ratio of success to failure can tell you which between the two offers more ways of winning. You will not choose the 5-low combination because it has more ways of losing than the 3-low-2-high combination.
Knowing how to pick the best composition will allow you to avoid selecting the worst combinations. Otherwise, you will wait too long to match the winning combination.
For example, in the Virginia Lottery Cash 5 game, the best choice of combination is one with 3 low and 2 high numbers. Thus, will you mark all 5 low numbers on the lotto ticket, knowing you may have just one chance at matching the winning combination out of the 37 games you play?
An excellent decision to make when playing Bank a Million is to select 3 low and 3 high numbers. This is because it gives about 34 times more ways of winning than all 6 low numbers.
Without this knowledge, you will probably continue playing using combinations other than the 3-low-3-high pattern. Money flushes down the drain with this way of playing.
Will you be okay with this possibility of wasting more money? The decision is yours, so make the most out of it.
It is just fortunate that the lottery is random, and its structure is finite. This enables well-read players to plan their games with precise strategy using combinatorics and probability.
Are you now ready to know more about the combinatorial groups in these three Virginia Lottery games? Then keep reading.
Which combinatorial groups in Cash 5 give the best shot?
The Cash 5 is a Virginia-only jackpot game where you could win at least $100,000. Pay $1 for each play. In one playslip, you could pay up to 6 plays. Pay an additional $1 for EZ Match for an instant prize of $500.
As we have discussed earlier, Cash 5 of the Virginia Lottery is a 5/41 game. Creating a 5-numbers combination out of 1-41 balls will give 749,398 total combinations.
Out of 1 to 41 balls, you can create the Odd/Even Sets:
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
The combinatorial groups from this game that you have known so far are the 5-even and 3-odd-2-even. The worst choice has 237,196 more ways to make a player lose than the best choice. For every 100 draws, the 5-even pattern might occur just 2 times.
There are other odd-even combinatorial patterns for Cash 5, and each of them also has its particular ratio of success to failure. You might ask, why do I still need to learn about them now that I already know the best choice of pattern to use? The answer is simple. It is because knowledge is power, and you will never know when this information might come in handy.
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.
For example, your favorite grand aunt asks you to buy a Cash 5 ticket for her using her birthday (November 22, 1912) and her favorite number 8. The resulting combination from her request is 7-11-12-19-22.
If you like to know the success ratio to failure for this combination, you must refer to the 5-41 Odd-Even Patterns table above.
7-11-12-19-22 is one of the 252,700 ways to win using the 3-odd-2-even pattern. This is one of the best combinations to play for.
Let’s look at the combinatorial patterns for Virginia Lottery Bank a Million.
The combinatorial groups that will help you Bank a Million
In Bank a Million, there are 40 balls to choose 6 numbers from. Thus, the total possible combinations are 3,838,380. Each ticket costs $2. It is your decision how much wager to pay for and how much you will try to win.
The Odd/Even Sets for Bank a Million are:
Odd = 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39
Even = 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40
From these number sets, the resulting combinatorial patterns are:
Once again, knowledge about these combinatorial groups empowers you in making the smart decision to play lotto better. Playing better could mean spending money only on combinations that offer the best shot of winning the jackpot.
People have different ways of deciding on lottery numbers. Some parents may ask their kids what numbers they can use in the lottery. For instance, one daughter gave 3-19-23-27-35-40 for her father to mark on the playslip.
For years, this dad has been spending money on this combination since it made him win a consolation prize after he matched 4 balls. Do you think this dad’s decision to stick with the combination is worth it?
Using the odd-even analysis, the daughter’s 3-19-23-27-35-40 contains 5 odd and 1 even number. The ratio of success to failure for this pattern is one of the worst. Out of 3,838,380, this pattern has 3,528,300 ways to lose.
Virginia Lottery holds two draw days for Bank a Million. This dad has been wasting his money if he has been religiously playing twice a week for this combination.
He already realized that he has been losing a significant amount of money, so he changed his combination. From 3-19-23-27-35-40, he decided on his family member’s birthday and age.
The 37-year-old dad was born on April 1st. His 30 years old wife was born on October 12th. His 6 years old daughter was born on September 9th. Thus, his new combination is 1-6-9-12-30-37.
Unknowingly, the father now uses the combinatorial pattern with the best ratio of success to failure in terms of odd-even numbers analysis.
Combinatorial patterns truly make a difference in one’s game. However, I have mentioned above that a number’s characteristic is not just about its odd or even nature. It also matters to know whether a number is from the low or high group in a lotto game. Let us see how the low-high analysis works in Cash4Life.
Playing Virginia Lottery Cash4Life with the best combinatorial groups
A ticket is worth $2. You must select 5 numbers from 1 to 60 and a Cash Ball from 1 to 4. The extra ball changes the odds, but we will only focus on the 5 main numbers. We don’t include the extra ball in a probability study because it’s not practical since the extra ball is drawn from a different drum.
Numbers in a lottery game are not only odd or even. A lotto game’s number field may have two groups of low-high number sets.
Therefore, to have an accurate strategy, you also need to consider if your numbers belong to the low or the high set. In Cash4Life, the Low/High Sets are:
Low = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30
High = 31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60
A retired office worker is trying her luck on the Cash4Life game. After all, the prize is like a handsome pension of $1,000 a day for life (for matching 5 balls and cash ball) or $1,000 a week for life (for matching 5 balls).
She decided she will play for the numbers 10, 34, 48, 50, and 55 that first popped up in her mind while she marked the playslip. Is this combination good to use?
Using the two sets of low and high numbers, the woman’s combination follows a 1-low-4-high pattern. From the Low-High Patterns table for a 5/60 game above, this pattern is considered a bad choice to have.
From the total combination of 5,461,512, there are 4,639,362 ways to lose. There are only 15 times this pattern may occur in 100 draws.
How about with the odd-even analysis? In terms of odd-even analysis, this woman’s combination is also among bad choices.
Bad choice for odd-even + bad choice for low-high = poor shot
Thus, continuously playing for her combination will only make the retired office worker waste her money.
Let us go back to our examples above for Cash 5 and Bank a Million so you will understand why a complete analysis is important for combinatorial patterns.
In Cash 5, the Low/High Sets are:
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
The aunt’s 7-11-12-19-22 is one combination with the best ratio of success to failure. This is in terms of odd and even composition. About the low and high number count, this combination has a 4-low-1-high pattern.
The table above shows that the 4-low-1-high pattern is a bad choice. It is one pattern with an awful ratio of success to failure with 629,698 ways of making a player lose.
Best choice for odd-even + bad choice for low-high = poor shot
Thus, even if it passes the odd-even analysis, it still has a low score in low-high analysis.
We have two combinations in our discussion above on Bank a Million. Let us look at them separately.
First is 3-19-23-27-35-40. It is a bad choice to use in a game in terms of odd-even composition.
In Bank a Million, the Low/High Sets
Low = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20
High = 21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40
Therefore, 3-19-23-27-35-40 follows the 2-low-4-high pattern.
From the table above, this pattern is a good choice with 920,550 ways of winning. The best choice is 3-low-3-high, which offers 379,050 more ways to win.
Bad choice for odd-even + good choice for low-high = poor shot
The second combination of the father player, 1-6-9-12-30-37, has a 4-low-2-high pattern. This is like that of a 2-low-4-high pattern, so it is also an excellent combination to play for in the game.
Best choice for odd-even + good choice for high low = fair shot
Below each analysis is a summary of what we have observed from each sample combination. Based on such a summary, you can decide what step to take next as a Virginia Lottery game player.
Will you still play for a combination that has a poor ratio of success to failure? You might end up wasting money.
Will you skip playing altogether? Perhaps this is an excellent decision not to waste money, but not buying a ticket nulls your chance to win the jackpot.
Allow me to reiterate that since you now know you have the power to choose, and then maximize this power by settling on the best choice of combinatorial patterns.
Examine if your number selection has the right composition of odd, even, low and high numbers so you could have the best ratio of success to failure. Focus on the balance of your numbers.
This will not guarantee you will know the exact winning number for the next draw. The lottery’s odds are hard to beat. Still, you can improve your choice based on the ratio. You can place yourself closer to the achievement of your goal.
Making a complete analysis of odd-even and low-high composition is challenging. A moment of distraction can already lead to miscalculation.
Besides, sometimes the odd-even and low-high analyses contradict one another. One example is with the 1-2-3-4-5-6 combination.
Its pattern offers the best ratio in terms of odd-even composition. It offers the worst ratio in terms of low-high composition. Thus, what can you possibly do to ensure you will have a complete and accurate analysis of combinations? Let me tell you about an enhanced combinatorial analysis using a tool made for Virginia lottery players.
No contradictions with enhanced combinatorial analysis
It can surely lead to a disaster if you fail to perform a complete and balanced analysis on the odd-even, low, and high composition of a combination.
For those with mathematical inclination, putting together the separate analyses is not a problem. Yet, just thinking about one mathematical analysis is already stressful for many people, let alone two.
For that reason, you need to find a solution that will complete analyzing combinatorial patterns, both odd-even and low-high. This is the solution that Lotterycodex offers to every lotto player, especially those uninterested in computations and analysis.
So let’s see how the advanced combinatorial analysis of Lotterycodex can help you with your lotto games.
Let’s start with Cash 5.
The table above shows how the calculator regroups the odd, even, low and high sets.
Using our 7-11-12-19-22 example above for this game, let us see how the Lotterycodex combinatorial design can make things easier.
Most of the numbers are low-odd, so right off the bat, you know while doing no basic computation or analysis that this is a combination that might not fare well in the draws. Doing the analysis manually may take you a while before you notice there is no balance in the number selection.
Thus, the calculator will save you time for making a crucial examination of your number selection. You immediately know that there is a need to change your numbers to have the best shot at the jackpot.
The Cash 5 game of the Virginia Lottery has 56 advanced combinatorial patterns, but only pattern #1 is the best one to incorporate in your game plan.
If you like to play a different game, you can also use the Lotterycodex patterns for Bank a Million.
The father’s first combination is 3-19-23-27-35-40
The calculator can immediately tell this is not a good combination to use. It enforces balance and can detect from the number input that the selection …