Question:
(d) If \( P(A) = \frac{3{13} \), \( P(B) = \frac{5}{13} \), and \( P(A \cap B) = \frac{2}{13} \), find the value of \( P(B/A) \):
(d) If \( P(A) = \frac{3{13} \), \( P(B) = \frac{5}{13} \), and \( P(A \cap B) = \frac{2}{13} \), find the value of \( P(B/A) \):
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Conditional probability is calculated as \( P(B/A) = \frac{P(A \cap B)}{P(A)} \).
Updated On: Mar 1, 2025
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Solution and Explanation
The conditional probability is given by:
\[
P(B/A) = \frac{P(A \cap B)}{P(A)}.
\]
Substituting the given values:
\[
P(B/A) = \frac{\frac{2}{13}}{\frac{3}{13}} = \frac{2}{3}.
\]
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