Question

A die is rolled 6 times. Find the probability P(of exactly 4 occurrences of 2).

Answer 1

prob(2) = 1/6
prob(not 2) = 5/6

prob (four 2's out of 6)
= C(6,4) (1/6)^4 (5/6)^2
= 15(1/1296)(25/36)
= appr .008