Suppose A and B are mutually exclusive events where P(A) = 0.1 and P(
B) = 0.7, then P(A
B) = 0.8.

Question

Suppose A and B are mutually exclusive events where P(A) = 0.1 and P(
B) = 0.7, then P(A 
B) = 0.8.

Quizplus · Accepted Answer

Since A and B are mutually exclusive events, they cannot occur simultaneously. Therefore, P(A and B) = 0. The sum of their probabilities, P(A) + P(B), is 0.1 + 0.7 = 0.8, which is the maximum possible probability of either A or B occurring. So, P(A or B) can be at most 0.8, but not exactly equal to 0.8 unless there is overlap between A and B. Thus, the statement "P(A or B) = 0.8" is not necessarily true.

Suppose a and B Are Mutually Exclusive Events Where P(A)