Question

If $P\left(A\right)=\frac{7}{13},P\left(B\right)=\frac{9}{13}$ and $P(A\cap B)=\frac{4}{13}$, then the value of $P\left(A/B\right)$ is:

• A. $\frac{4}{13}$
• B. $\frac{4}{9}$
• C. $\frac{7}{9}$
• D. $\frac{4}{7}$

Answer 1

The correct option is B $\frac{4}{9}$

We know, $P\left(A/B\right)=\frac{P(A\cap B)}{P\left(B\right)}=\frac{\frac{4}{13}}{\frac{9}{13}}=\frac{4}{9}$