Events A and B are independent with P(A) = 0.4 and P(B) = 0.3. What is P(A ∩ B)?

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Question

Events A and B are independent with P(A) = 0.4 and P(B) = 0.3. What is P(A ∩ B)?

Accepted Answer

0.12 — For independent events, P(A ∩ B) = P(A) × P(B) = 0.4 × 0.3 = 0.12. Option A (0.70) results from incorrectly adding the probabilities. Option B (0.10) comes from subtracting P(B) from P(A). Option D (0.58) is the result of applying the addition rule P(A ∪ B) instead of finding the intersection.

Answer

0.70

Answer

0.10

Answer

0.12

Answer

0.58

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