SOLUTION: A pair of dice is rolled 10 times. What is the probability of getting 3 rolls of 8, 2 rolls of 7, and 5 rolls of any other sums?

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Question 1194853: A pair of dice is rolled 10 times. What is the probability of getting 3 rolls of 8, 2 rolls of 7, and 5 rolls of any other sums?
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


(1) The probability of rolling an 8 is 5/36; the probability of rolling a 7 is 1/6; the probability of rolling any other sum is 25/36.

(2) The probability of rolling an 8 3 times, a 7 2 times, and any other sum 5 times in 10 throws, IN ANY PARTICULAR ORDER, is %28%285%2F36%29%5E3%29%28%281%2F6%29%5E2%29%28%2825%2F36%29%5E5%29.

(3) The number of different ORDERS in which you can get those outcomes on 10 rolls is 10%21%2F%28%283%21%29%282%21%29%285%21%29%29.

So the probability asked for in the problem is



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