ProbabilityHard

Question

In a series of 3 independent trials the probability of exactly 2 success is 12 times as large as the probability of 3 successes. The probability of a success in each trial is:

Options

A.1/5
B.2/5
C.3/5
D.4/5

Solution

3C2 P2 (1 - P) = 12 3C3     P3
1 - P  = 4 P ⇒ 1/5 = p

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