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

Name: \[\text { If } \mathrm { P } ( A ) = 0.4 \text { and } \mathrm { P } ( B ) = 0.6\] , then A and B must be collectively exhaustive.
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Events A and B are collectively exhaustive if their probabilities sum to 1. Here, $ P(A) + P(B) = 0.4 + 0.6 = 1 $, but this does not guarantee that A and B cover all possible outcomes unless explicitly stated.

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

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