If $\mathrm{P}(\mathrm{A} \cap \mathrm{B})=0.2$ and $P(A \cup B)=0.7$ then $P^{\prime}\left(A^{\prime}\right)+P\left(B^{\prime}\right)$ is

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Aicharya · Accepted Answer

$\begin{aligned} & P\left(A^{\prime}ight)+P\left(B^{\prime}ight)=1-P(A)+1-P(B) \ & =2-\{P(A)+P(B)\} \ & =2-\{P(A \cup B)+P(A \cap B)\} \ & =2-\{0.7+0.2\} \ & =2-0.9 \ & =1.1\end{aligned}$

If \(\mathrm{P}(\mathrm{A} \cap \mathrm{B})=0.2\) and $P(A \cup B)=0.7$ then…

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