Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

Two independent events A and B are such that P(A) = \(\frac{1}{2}\) and P(B) = \(\frac{1}{3}\), the P(A|B) =

Options:

\(\frac{1}{3}\)

\(\frac{1}{2}\)

\(\frac{2}{3}\)

1

Correct Answer:

\(\frac{1}{2}\)

Explanation:

\(P(A) = \frac{1}{2}\), \(P(B) =\frac{1}{3}\)

$∴ P(\frac{A}{B})=\frac{P(A∩B)}{P(B)}=\frac{\frac{1}{2}×\frac{1}{3}}{\frac{1}{3}}=\frac{1}{2}$

Option 2 is correct.