If A and B are mutually exclusive events with P(A) = 0.80, then P(B):
A)Can take any value between 0 and 1.
B)Can take any value between 0 and 0.80.
C)Can be larger than 0.80.
D)Cannot be larger than 0.20.

Question

Quizplus · Accepted Answer

If A and B are mutually exclusive events, that means they cannot happen at the same time. Therefore, P(A) + P(B) = 1. Given that P(A) = 0.80, we can substitute and solve for P(B):
0.80 + P(B) = 1
P(B) = 1 - 0.80
P(B) = 0.20
Therefore, the largest possible value for P(B) is 0.20, which is option D.

If a and B Are Mutually Exclusive Events with P(A)