True or False: If P(A)= 0.4 and P(B)= 0.6, then A and B must be collectively exhaustive.

Name: True or False: If P(A)= 0.4 and P(B)= 0.6, then A and B must be collectively exhaustive.
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Quizplus · Accepted Answer

Collectively exhaustive events must cover the entire sample space, meaning P(A) + P(B) should equal 1. Here, P(A) + P(B) = 0.4 + 0.6 = 1, but this alone does not guarantee that A and B are collectively exhaustive without additional context.