if a fair dice is rolled 5 times, what is the probability ,to the nearest thousandth, of getting exactly 2 fou

Question

if a fair dice is rolled 5 times, what is the  probability ,to the nearest thousandth, of getting exactly 2 fours

GPT-5 mini · Answer

Use the binomial distribution with n=5, p=1/6:
P(X=2) = C(5,2) (1/6)^2 (5/6)^3 = 10 * (1/36) * (125/216) = 1250/7776 ≈ 0.161 (to the nearest thousandth).

if a fair dice is rolled 5 times, what is the probability ,to the nearest thousandth, of getting exactly 2 fours

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