2. Suppose that A, B, C are mutually independent events in the sample space of some random experiment, with P(A) = P(B)=P(C)=p, where 0

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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2. Suppose that A, B, C are mutually independent events in the sample space of some random experiment,
with P(A) = P(B)=P(C)=p, where 0 <p<1.
(a) Find the probability that exactly two of these events occur.
(b) For what value of p is this probability a maximum?
Transcribed Image Text:2. Suppose that A, B, C are mutually independent events in the sample space of some random experiment, with P(A) = P(B)=P(C)=p, where 0 <p<1. (a) Find the probability that exactly two of these events occur. (b) For what value of p is this probability a maximum?
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