Fill in the blanks in following table :
$P(A)$ | $P(B)$ | $P(A \cap B)$ | $P (A \cup B)$ |
$0.35$ | ........... | $0.25$ | $0.6$ |
Here, $P(A)=0.35$, $P(A \cap B)=0.25$, $P(A \cup B)=0.6$
We know that $P (A \cup B)= P ( B )+ P ( B )- P (A \cap B)$
$\therefore $ $0.6=0.35+ P ( B )-0.25$
$\Rightarrow $ $P ( B )=0.6-0.35+0.25$
$\Rightarrow $ $P ( B )=0.5$
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$A$ and $B$ are events such that $P(A)=0.42$, $P(B)=0.48$ and $P(A$ and $B)=0.16 .$ Determine $P ($ not $B).$
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