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If P (A) = 0.8, P (B) = 0.5 and P (B|A) = 0.4 find (i) P (A ∩ B)

Q. 3.     If  P(A)=0.8,P(B)=0.5  and  P(B\mid A)=0.4,  find

            (i)  P(A\cap B)

Answers (1)
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It is given that P(A)=0.8, P(B)=0.5 and P(B|A)=0.4

P ( B | A ) = \frac{p(A\cap B)}{P(A)}

0.4 = \frac{p(A\cap B)} {0.8}

p(A\cap B) = 0.4 \times 0.8

p(A\cap B) = 0.32

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