Events A and B are said to be statistically independent if their union is the sample space.

Name: Events A and B are said to be statistically independent if their union is the sample space.
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Question

Quizplus · Accepted Answer

Two events A and B are statistically independent if and only if P(A∩B) = P(A)P(B), which does not necessarily mean that their union is the sample space. It is possible for two events to be independent but not cover the entire sample space.

Events a and B Are Said to Be Statistically Independent