For a class activity, your group has been assigned the task of generating a quiz question that requires use of the formula for conditional probability to compute P(B | A). Your group comes up with the following question "If P(A and B) = 0.40 and P(A) = 0.20, what is the value of P(B | A)?" What is wrong with this question? Hint: Consider the answer you get when using the correct formula, P(B | A) = P(A and B)/P(A). P(A and B) cannot be greater than P(A), because this yields a probability greater than 1 for the answer. P(A and B) should be larger.     P(A and B) cannot be greater than P(A), because this yields a probability less than 0 for the answer. The question should be looking for P(A | B) not P(B | A).

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