If P(B)= .7 and P(B|A)= .4,then P(A and B)must be .28.

Name: If P(B)= .7 and P(B|A)= .4,then P(A and B)must be .28.
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Quizplus · Accepted Answer

The formula for conditional probability is P(B|A) = P(A and B) / P(A). Rearranging this formula, we get P(A and B) = P(B|A) * P(A). We are given P(B|A) = 0.4, but we do not know P(A), so we cannot determine P(A and B) with the information given. Therefore, the statement is false.

If P(B)= 7 and P(B|A)=