If P(B | A) = p(b), then P(A ∩ B) = ____________Review Laterp(b)p(a)p(b).p(a)p(a) + p(b)
Question
If P(B | A) = p(b), then P(A ∩ B) = ____________Review Laterp(b)p(a)p(b).p(a)p(a) + p(b)
Solution
The answer is p(b).p(a). This is because the probability of the intersection of two events A and B, denoted as P(A ∩ B), is equal to the probability of event B given A, denoted as P(B | A), times the probability of event A, denoted as P(A). In this case, P(B | A) is given as p(b), and we are assuming that the probability of event A is p(a). Therefore, P(A ∩ B) = p(b).p(a).
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