A and B are disjoint events,with P(A)= 0.20 and P(B)= 0.30.Then P(A and B)is:
A)0.50
B)0.10
C)0.00
D)0.06

Name: A and B are disjoint events,with P(A)= 0.20 and P(B)= 0.30.Then P(A and B)is: A)0.50 B)0.10 C)0.00 D)0.06
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Question

Quizplus · Accepted Answer

If events A and B are disjoint, it means they have no outcomes in common. Therefore, P(A and B) = 0. Since probabilities must add up to 1, we have P(A) + P(B) = 0.20 + 0.30 = 0.50, which means there is no way for P(A and B) to be greater than 0. Therefore, the only valid choice is C, 0.

A and B Are Disjoint Events,with P(A)= 0