Question

If \( A \) and \( B \) are two independent events with \( P(A) = 0.3 \) and \( P(B) = 0.4 \), then find \( P(B|A) \)

Hint:

For independent events, the conditional probability \( P(B|A) \) is simply \( P(B) \).

Answer 1

Step 1: Understanding independent events.
For two independent events, the conditional probability \( P(B|A) \) is equal to the probability of \( B \), i.e., \[ P(B|A) = P(B) \]

Step 2: Applying the given values.
Since \( P(B) = 0.4 \), we have: \[ P(B|A) = 0.4 \]

Step 3: Conclusion.
Thus, \( P(B|A) = 0.4 \).