If P(B|A) = P(B), then events A and B are independent. True or false?

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If P(B|A) = P(B), then events A and B are independent. True or false?

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Nem 5 years 2021-07-24T19:58:41+00:00 1 Answers 17 views 0

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  1. thuhuong
    0
    2021-07-24T19:59:48+00:00
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    Answer:

    True

    Step-by-step explanation:

    Conditional probability is:

    P(B|A) = P(B and A) / P(A)

    If A and B are independent, then P(B and A) = P(B) × P(A).

    P(B|A) = P(B) × P(A) / P(A)

    P(B|A) = P(B)

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