$$\text { If } \mathrm { P } ( A ) = 0.4 \text { and } \mathrm { P } ( B ) = 0.6$$ , then A and B must be collectively exhaustive.

Question

Quizplus · Accepted Answer

Two events being collectively exhaustive means that at least one of them must occur in any trial. The probabilities of A and B alone do not determine if they are collectively exhaustive; they could be overlapping, mutually exclusive, or neither, without additional information.

If P(A)=0.4 and P(B)=0.6\text { If } \mathrm { P } ( A ) = 0.4 \text { and } \mathrm { P } ( B ) = 0.6 If P(A)=0.4 and P(B)=0.6

$\text { If } \mathrm { P } ( A ) = 0.4 \text { and } \mathrm { P } ( B ) = 0.6$