Question

$\text{If}P\left(X\right)=1/4,P\left(Y\right)=1/3,\text{and}P(X\cap Y)=1/12,$ the value of $P\left(Y/X\right)$ is

• A. $\frac{1}{4}$
• B. $\frac{4}{25}$
• C. $\frac{1}{3}$
• D. $\frac{29}{50}$

Answer 1

The correct option is C $\frac{1}{3}$

Given that P(X) = 1/4, P(Y) = 1/3, $P(X\cap Y)=1/12$
$P\left(Y/X\right)=\frac{P(X\cap Y)}{P\left(X\right)}=\frac{1/12}{1/4}=1/3$