$A$ and $B$ are two events such that $P(A)=0.54$, $P(B)=0.69$ and $P(A \cap B)=0.35.$ Find $P \left( A \cap B ^{\prime}\right)$ .

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It is given that $P ( A )=0.54$,  $P ( B )=0.69$,  $P (A \cap B)=0.35$

$P \left(A \cap B^{\prime}\right)= P ( A )- P (A \cap B)$

$=0.54-0.35$

$=0.19$

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  • [IIT 1988]