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# If two events, A and B, are mutually exclusive, the probability of A intersection B.

We will use the concept of probability in order to find the probability of A intersection B. Mutually exclusive events are two or more events that cannot occur together.

## Answer: The probability of A intersection B is 0 if A and B are mutually exclusive.

Let us see how we will use the concept of probability in order to find the probability of A intersection B.

**Explanation:**

If two events are mutually exclusive events then both events cannot happen simultaneously.

The sample space A intersection B is where both co-exist at the same time.

Events A intersection B means that both events happen simultaneously. Since the two mutually exclusive events A and B cannot occur together, therefore the probability of both the events A and B happening together is 0.

### Hence, the probability of A intersection B is 0 if A and B are mutually exclusive.

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