Solve the problem.
-Given that P(A)= 0.21 and P(B)= 0.32, find P(A ∩B)if A and B are mutually exclusive.
A)0
B)0.0672
C)0.53
D)0.4628

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Quizplus · Accepted Answer

If A and B are mutually exclusive, then they cannot have any elements in common. Therefore, their intersection (denoted as A ∩B) is an empty set. The probability of an empty set is always 0. Thus, P(A ∩B) = 0. Therefore, the best choice is A. If A and B are mutually exclusive, this means that they cannot occur at the same time. In other words, their intersection (A ∩ B) is empty. Therefore, the probability of their intersection is zero, i.e. P(A ∩ B) = 0. Therefore, the correct choice is A.

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