Here are the statistics for the Mega Millions winning numbers. Based on the Bayesian Approach to the Mega Millions, we generate a pool of balls while weighting the number of each ball differently, and then pick balls randomly from the pool. You can check out our Mega Millions Winning Numbers Generator. You can also use it on your Mobile Phones. Good luck!

Total number of draws is 651 since 06/24/2005 when the number matrices became 5/56 Game balls and 1/46 Mega balls.

 

Vertical bars chart

The theoretical mean value of the appeared Game ball numbers is 28.5,

and the acutal mean value of the appeared Game ball numbers is 28.5.

So, the sample size is large enough to apply the Law of Large Numbers to the Game balls.

The average number of appearance for Game balls is 58.1 and the standard deviation is 6.8. ( Std/Mean for Game balls = 0.12 )

As can be observed from the plot, there are some Game balls that have appeared more than Mean+Std = 64.9 times,

and some Game balls that have appeared less than Mean-Std = 51.3 times.

 

Vertical bars chart

The theoretical mean value of the appeared Mega ball numbers is 23.5,

and the acutal mean value of the appeared Mega ball numbers is 23.3.

So, the sample size is large enough to apply the Law of Large Numbers to the Mega balls.

The average number of appearance for Mega balls is 14.2 and the standard deviation is 3.2. ( Std/Mean for Mega balls = 0.23 )

As can be observed from the plot, there are some Mega balls that have appeared more than Mean+Std = 17.3 times,

and some Mega ball numbers that have appeared less than Mean-Std = 11 times.

 

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