If A and B are independent and P(A) = 0.4, what is P(A|B)?

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Multiple Choice

If A and B are independent and P(A) = 0.4, what is P(A|B)?

Independence means the occurrence of B does not change the likelihood of A. The conditional probability is P(A|B) = P(A∩B)/P(B). If A and B are independent, P(A∩B) = P(A)P(B). So P(A|B) = [P(A)P(B)]/P(B) = P(A). Since P(A) = 0.4, we get P(A|B) = 0.4. The other values would require some dependence between A and B or a special case, which isn’t the situation here.

If A and B are independent and P(A) = 0.4, 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 A and B are independent and P(A) = 0.4, what is P(A|B)?

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