Note that the probability of rolling a sum of 12 on two dice is 1/36. What is the least number of times a pair of dice needs to be rolled in order for the probability of obtaining a sum of 12 at least once to be at least 0.9?

Every time you roll the dice, you have a 1/36 change of getting 12. If you roll the dice a certain number of times, the probability is multiplied by the number of times you roll the dice.

1/36 = .028

and we need to find the smallest number of times we can roll so that the fraction is at or above .9 turns out 33/36 is .916 so if you roll the dice 33 times, your probability of rolling a 12 is at least .9

Mar 30th, 2015

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