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If two events A and B are independent and you know that P(A) = 0.35, what is the value of P(A | B)?

Question

If two events A and B are independent and you know that P(A) = 0.35, what is the value of P(A | B)?

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Solution

The probability of event A given event B, denoted as P(A | B), is the same as the probability of event A if events A and B are independent. This is because the occurrence of event B does not affect the probability of event A in any way.

So, if P(A) = 0.35, then P(A | B) = 0.35 as well.

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