In a sample space S, if P(a) = 0, then A is independent of any other event
Question
In a sample space S, if P(a) = 0, then A is independent of any other event
Solution
The statement is true. In probability theory, an event A is said to be independent of another event B if the probability of event A occurring does not change whether event B occurs or not.
In this case, if P(A) = 0, it means that event A will not occur. Therefore, the occurrence or non-occurrence of any other event in the sample space S will not change the probability of event A. Hence, event A is independent of any other event in the sample space S.
Similar Questions
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