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MEGA MILLIONS jackpot worth $300 million! Mega Millions tickets cost $1.00 per p

ID: 2979022 • Letter: M

Question

MEGA MILLIONS jackpot worth $300 million! Mega Millions tickets cost $1.00 per play and players pick six numbers from two separate pools of numbers: ve dierent numbers from 1 to 52, and one number from 1 to 52. You win the jackpot by matching all six winning numbers in a drawing. The advertised chances of winning are: 1 in 135,145,920. (a) If you had to guess the specic order in which the numbers from 1 to 52 are drawn, what would be the probability of your winning the jackpot per play? (b) You do not need to guess the specic order in which the numbers from 1 to 52 are drawn. What is the probability of your winning the jackpot per play? (c) Does your answer in (b) agree with the advertised chances of winning?

Explanation / Answer

(a) 1/(52C6*6!) = 1/14658134400... (b) 1/(52C6) = 1/20358520 ..... (c) my answers doesn't agree at all with the advertised chances as you can clearly see the chances are much much worse than advertised!!