Massachusetts Lottery And The Strategy According To Math
Last updated on January 2, 2021
“Oh my god, I won the Massachusetts Lottery jackpot!”
A winner might exclaim after scanning his lottery ticket using the state lottery’s newly launched app.
It is great to know that the state lottery keeps up with time and technology, but most players probably have more urgent concerns.
“When will that fortunate day come?”
“Is there a way I could win the lottery?”
I know that you have asked these questions many times. You probably even felt hopeless each time you do; you have won nothing out of your daily games.
I cannot have a definite answer to your first question, but I can present valid information in devising a strategy. Let me show you how math can be an effective strategy in winning the Massachusetts Lottery.
The right tools to use to win a Massachusetts lottery
While statistics are a mathematical concept, this is not the method that you will learn here. In fact, I will debunk the existence of hot and cold numbers, which many lotto players aim to spot when they use statistics (past game results).
Massachusetts Lottery games are random, just as the image above represents through the varied gray and white shades. Frequently and seldom drawn numbers appear in 100 previous lotto draws.
Yet, when the number of draws increases, all numbers will have the same (or almost the same) frequency of occurrence as presented in this visual analysis. The law of large numbers is behind this.
Life is a box of chocolates, and you will never know what you will get. A brown paper box contains 12 Hershey’s Kisses chocolates in milk chocolate, almonds, and chocolate truffles. Statistical sampling is a method applicable to determine how many Kisses in each flavor the box contains.
But that’s not the same case in the lottery; therefore, statistics is not the right tool to use.
In the 3 Massachusetts Lottery games, Mass Cash, Megabucks Doubler, and Lucky for Life, you know the pick size and the number of balls for selection. You can compute important parameters like total combinations, the probability of a certain type of combination, and the odds of winning from a certain combination.
Therefore, instead of statistics, we can use combinatorial mathematics and probability theory.
It is impossible to predict the next winning combination, but combinatorics and probability will open a small window you could use to gain the best shot. This free guide discusses these concepts in detail.
Do not feel scared just because I mentioned some mathematical calculations when there is a lottery calculator you can use. This new tool will simplify all the crucial math concepts required to make the game better.
The key is in the ratio
What is the common factor among these pairs? It’s love that complements one another.
Cheesy as it may sound, this is how you should apply probability and odds in the lottery.
First, let me show you the difference between probability and odds.
Probability measures the likelihood that an event will occur. Expressed in values between 0 and 1, it stands for the possibility a lotto combination will result in the draw.
In the Massachusetts State Lottery’s Mass Cash game, choosing 5 numbers from 1 to 35 gives the total combination of 324,632. There is always one winning combination in a lottery draw.
Thus, the probability of winning in the Mass Cash is 1/324,632. This is your probability regardless of which of the 324,632 combinations you use.
This next formula is for odds. It is this formula that considers each combination uniquely. This is where the concept of combinatorial groups starts to matter.
There are different combinations lotto players can make in a lotto game, like the samples above. You can make an all-even combination like 4-16-22-28-32-48 or a consecutive combination like 1-2-3-4-5-6.
Many Massachusetts Lottery players do not think it does not matter what they pick because they only have one probability of winning regardless of their selected numbers. This scenario considers only the probability, but not the odds, which gravely weakens your strategy for winning.
From this table above, you see there are 6 odd-even patterns for Mass Cash. Odds take into consideration the pattern of a combination.
If you play for a combination containing all 5 odd numbers, your odds are 8,568 ways to win but 316,064 ways to lose. Thus, odds give the ratio of success to failure.
See the difference between probability and odds?
Probability quickly dampens the mood by telling you there is just one way to win, so there seems nothing you can do.
Odds give you hope by telling you that you need to strategically, not randomly choose the numbers on your lottery ticket.
Sadly, many players miss the opportunity that odds (or ratio of success to failure) offer because they focus only on probability.
Players, who disregard odds, could randomly pick numbers and mark 5 even numbers. The table of odd-even pattern analysis proves this is not a good idea. The 318,444 ways you can lose using this pattern is greater than the 213,656 ways of losing using a 3-odd-2-even pattern.
Focusing only on probability, you will always think there is just one way of winning, so it does not matter what numbers you select. Putting odds into consideration, you realize you must carefully pick every number to have more ways of winning and lesser ways of losing.
This strategy lets you have fewer ways of being wrong in the Massachusetts Lottery, which you can accomplish with Lotterycodex.
RememberYour goal is to win the lottery, and the first thing you should know before you play is to know the ratio of success to failure and choose the best one. You cannot change the underlying probability, and you cannot beat the lottery’s odds, but as a lotto player, you have the power to know and make the right choice. Even choosing not to play is a strategy by itself.
Now let us see the ratio of success to failure in Megabucks Doubler.
To consider the ratio of success to failure in this lottery game, cautiously select low and high numbers for your combination. The table above shows that 3-low-3-high is an ideal choice because of its 4,655,200 winning opportunities.
The worst choice is a 6-low combination with 13,806,716 ways to lose. Probability says there is one way to win. The ratio shows that choosing the best patterns gives a better winning advantage.
Knowing this, will you let a good opportunity pass by? You would definitely not. Keep reading more about choosing ideal combinations below.
What you should know about combinatorial groups
Numbers and combinations are innate in a lotto game.
Assume that in front of you, there is a jar of marbles for each number from 1 to 35. You must get 5 marbles from the jar. Each marble has the same shape, weight, and texture.
Thus, there are no biases to determine which marbles you will get when you draw one marble at a time. This explains how an individual number has no significance unless it goes with other numbers to create a combination.
Each lotto game has its pick size and number field. For example, Massachusetts Lottery Mass Cash requires you to select 5 numbers (pick size) from 1 to 35 (number field). The lotto machine will probably reject your card if you marked only 4 numbers.
In Megabucks Doubler, players choose 6 numbers from 1 to 49 to create a combination. A combination comprises 5 different numbers from 1 to 48 (plus 1 lucky ball from 1 to 18) in Lucky for Life.
From the number field of every game, there are 4 sets we can create according to the numbers’ characteristics. These are odd, even, low and high.
Refer again to the Odd-Even Patterns for Mass Cash 5/35.
Out of 1 to 35, you can make a combination containing all 5 odd numbers. You can also choose 4-odd-1-even, or 3-odd-2-even, or 2-odd-3-even, or 1-odd-4-even or 0-odd-5-even numbers. Thus, you can come up with combinations that have varying odd and even number compositions.
The unique composition of every combination produces the combinatorial groups. As explained earlier, every combinatorial group or pattern has unequal ratios of success to failure you may take advantage of.
Common sense dictates you will not choose a combinatorial group or pattern that will make you lose more. You will choose a pattern that has more ways of winning to offer in the Massachusetts Lottery.
The image above suggests that if you want the best shot in the Massachusetts Lucky for Life game, use the combinatorial group that contains your 3 low and 2 high numbers. You have 516,120 fewer ways to lose using this than the 5-low combination.
RememberA 3-low-2-high or a 5-low combination share an equal probability of winning. Still, the ratio of success to failure tells you that the 3-low-2-high combination offers more ways to win than the 5-low combination. With a 5-low combination, you have more ways to lose. With a 3-low-2-high group, you have less chance to fail.
From the Mass Cash ratio image above, we also paid attention to how many odd and even numbers are in the combination. In the Megabucks Doubler, the quantity of low and high numbers in the combination played a crucial role in its ratio of success to failure.
Concentrate on carefully choosing a balanced combination of odd, even, low and high numbers.
Knowing that combinatorial groups have different odds, a smart player could then form his mathematical strategy. He could map out his moves based on the combinatorial group with the best success ratio to failure.
Let us see how this works in the three Massachusetts Lottery games.
Combinatorial groups in the Mass Cash 5/35
To play Mass Cash, pick 5 numbers from 1 to 35. Buy tickets for $1 each. The jackpot prize is $100,000.
For this Massachusetts Lottery, two of the number sets 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
This table shows the 6 combinatorial patterns that contain odd-even numbers for Mass Cash. While you have the freedom to choose your numbers, you surely want to spend money on tickets with numbers that can bring you closer to winning.
Thus, it is helpful selecting 3 odd and 2 even numbers on your lotto ticket. This has the most favorable ratio of success to failure among all odd-even patterns. There are 324,632 total combinations for this game.
Probability tells us that no matter what pattern we use for the game, there is only one chance to become the winner.
Yet, the ratio of success to failure gives us hope that if you use the 3-odd-3-even pattern, you could be the winner from the 34 times expected occurrence of this pattern every 100 draws.
RememberChoosing a 3-odd-2-even combination instead of a 5-even makes no difference in the probability. Yet, the 3-odd-2-even combination offers the best ratio of success to failure. This gives 213,656 ways to lose, while a 5-even combination offers 318,444 ways to lose.
We must always remember and consider the balance in your choices, so for Mass Cash, take care in choosing low and high numbers too.
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
The 1-2-3-4-5-6 combination might have the highest probability in terms of odd-even analysis, but all these numbers are from the low set.
Out of 100 draws, this could only match the winning combination 3 times. There are 8,568 ways of winning, while there are 316,064 ways of losing with this pattern.
Balance in the composition is important even in Megabucks Doubler of the Massachusetts Lottery.
Combinatorial groups in the Mega Bucks 6/49
Megabucks Doubler is a 6/49 game. From 1 to 49, select 6 numbers for your combination. One wager costs $1.
Tickets with “This is a Doubler Ticket” imply that these tickets will have 2 times the non-jackpot prizes. Jackpot starts at $500,000.
The number sets for this Massachusetts Lottery game include:
Odd = 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49
Even = 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48