SOLUTION: Suppose that a pair of fair, standard 6-sided dice are rolled fifteen times. What is the probability that a sum of 7 occurs exactly three times in the fifteen rolls? Please help.

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Question 872059: Suppose that a pair of fair, standard 6-sided dice are rolled fifteen times. What is the probability that a sum of 7 occurs exactly three times in the fifteen rolls? Please help. To solve this problem I must use either binomial distribution or expected value probability.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
___1_2_3__4__5__6
1|_2_3_4__5__6__7
2|_3_4_5__6__7__8
3|_4_5_6__7__8__9
4|_5_6_7__8__9_10
5|_6_7_8__9_10_11
6|_7_8_9_10_11_12
P(7) = 6/36 = 1/6 = .1667, n = 15
P(x =3) = binompdf(15, .1667, 3) = .2363 0r 23.63%