If \(P(A)=\frac{5}{7},P(B)=\frac{11}{15}

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

If $P(A)=\frac{5}{7},P(B)=\frac{11}{15}$ and $P(A \cap B)=\frac{8}{15}$, then $P(A/B)$ is

Options:

$\frac{3}{8}$

$\frac{8}{11}$

$\frac{7}{8}$

$\frac{5}{8}$

Correct Answer:

$\frac{8}{11}$

Explanation:

$P\left(\frac{A}{B}\right)=\frac{P(A\cap B)}{P(B)}= \frac{8}{11}$