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A and B are independent events, what is the probability that A and B both occur?

A and B are independent events, what is the probability that A and B both occur?-example-1

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Take into account that the probability for two independent events P(A) and P(B) is given by:

P(A|B) = P(A)P(B)

That is, the probability that both A and B events occur is the product of its probabilities as independent events.

Then, based on the information of the question, you have:

P(A|B) = (3/4)(3/8) = 9/32

The probability is 9/32

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