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# If A and B are dependent events, which of these conditions must be true? a. P(A and B)=P(A) + P(B) b. P(A and B)= P(B) P(A) c. P(B|A)=P(B) d. P(A|B)=P(A) e. P(B|A) does not equal P(B)

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Two events are dependent if the outcome or occurrence of the first affects the outcome or occurrence of the second, so that the probability is changed. Also, Two events are independent if the outcome or occurrence of the first does not affect the result, or the occurrence of the second, so that the probability is not changed. For independent events: P(a and B) = P(a) x P(B). Recall that P(B|A) = P(a and B) / P(a) = P(a) x P(B) / P(a) = P(B). Therefore, for dependent events, P(B|A) is not equal to P(B).