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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  $\inline P(A)=0.8,P(B)=0.5$  and  $\inline P(B\mid A)=0.4,$  find

(i)  $\inline P(A\cap B)$

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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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