For two events and

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

Problem

For two events

A

and

B

, the following information is given:

P(A)=0.4,\; P(A\mid B)=\dfrac{2}{5},\; P(B\mid A)=\dfrac{3}{8}.

Calculate: (i)

P(A\cap B)

(ii)

P(B)