If A and B are disjoint events with P(A)= 0.70,then P(B):
A)can be any value between 0 and 1
B)can be any value between 0 and 0.70
C)cannot be larger than 0.30
D)cannot be determined with the information given

Question

Quizplus · Accepted Answer

If A and B are disjoint events, it means they have no common outcomes. Therefore, the probability of the union of those events is the sum of their probabilities. Since P(A) = 0.70, and A and B are disjoint, P(A or B) = P(A) + P(B) = 0.70 + P(B) ≤ 1. This means P(B) ≤ 0.30, so the correct answer is C.

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