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Given an event A, the event that A does not occur is called the ▼(Choose one) of A.

Question

Given an event A, the event that A does not occur is called the ▼(Choose one) of A.

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Solution

The event that A does not occur is called the complement of A. In probability theory, the complement of an event consists of all outcomes in which the event does not happen. If P(A) P(A) is the probability that event A occurs, then the probability of the complement of A, denoted P(A) P(A') or P(Ac) P(A^c) , can be expressed as:

P(A)=1P(A) P(A') = 1 - P(A)

This concept is fundamental in probability and is often used to calculate the likelihood of events not occurring based on the probability of those events occurring.

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