Question

Compute $P\left(A|B\right)$, if $P\left(B\right)=0.6$,$P\left(A\right)=0.2$ and $P(A\cup B)=0.50$.

• A. $0.5$
• B. $0.2$
• C. $0.4$
• D. $0.6$

Answer 1

The correct option is A $0.5$

$P\left(A|B\right)=\frac{P(A\cap B)}{P\left(B\right)}=\frac{P\left(B\right)+P\left(A\right)-P(A\cup B)}{P\left(B\right)}=0.5$