If P(B) = 0.6 and P(A|B) = 0.5, what is P(A ∩ B)?

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Multiple Choice

If P(B) = 0.6 and P(A|B) = 0.5, what is P(A ∩ B)?

Joint probability is found by multiplying the probability of the conditioning event by the probability of the event of interest given that conditioning. So P(A ∩ B) = P(A|B) × P(B) = 0.5 × 0.6 = 0.30. The probability that both A and B occur is 0.30. The other values don’t come from the product of 0.5 and 0.6, so they don’t represent the intersection.

If P(B) = 0.6 and P(A|B) = 0.5, what is P(A ∩ B)?

Enhance your understanding of Descriptive Statistics and Probability. Study with interactive questions and detailed explanations. Prepare effectively for your test!

If P(B) = 0.6 and P(A|B) = 0.5, what is P(A ∩ B)?

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