If P(A|B) = 0.6, what is P(A^c|B)?

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Multiple Choice

If P(A|B) = 0.6, what is P(A^c|B)?

When we condition on B, the event A and its complement A^c are the two possibilities under B, so their conditional probabilities must add up to 1. If P(A|B) is 0.6, then the remaining probability mass for A^c given B is 1 − 0.6 = 0.4. Therefore, P(A^c|B) = 0.4. The other values would contradict the fact that A and A^c exhaust all outcomes under the condition B.

If P(A|B) = 0.6, what is P(A^c|B)?

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

If P(A|B) = 0.6, what is P(A^c|B)?

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