Question

If \( A, B, C \) are three events associated with a random experiment, then \( P(A \,|\, B) \) is

• A. \( P(A \cup B) \)
• B. \( P(A \cap B) \)
• C. \( P(A \cap B) / P(A) \)
• D. \( P(A \cap B \cap C) \)

Hint:

Conditional probability is calculated as \( P(A \,|\, B) = \frac{P(A \cap B)}{P(A)} \).

Answer 1

The Correct Option is C

The conditional probability \( P(A \,|\, B) \) is given by the ratio of the probability of the intersection of A and B, divided by the probability of A.