Suppose , , and…

MATHEMATICS · Multi-part · A Level · Mathematics · Probability · Probability

Problem

Suppose

P(A)=\frac{2}{5}

,

P(B\mid A)=\frac{1}{3}

, and

P(B\mid A')=\frac{1}{4}

. (1) Find

P(B)

. (2) Are

A

and

B

independent events? Justify your answer.

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