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If events  and  are mutually exclusive, then .

If events \( A \) and \( B \) are mutually exclusive, then **\( P(A \cap B) = 0 \)**.

### Explanation:
Mutually exclusive events cannot occur at the same time, so the probability of both events occurring together is zero.

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Would you like further details or have any questions? Here are some related questions:

1. What is the formula for the probability of either \( A \) or \( B \) occurring if they are mutually exclusive?
2. How does the concept of mutually exclusive events relate to independent events?
3. What happens to the sum of probabilities if two events are mutually exclusive?
4. Can two events be both mutually exclusive and independent? Why or why not?
5. How would you calculate the probability of the union of two events if they are not mutually exclusive?

**Tip:** Always verify whether events are mutually exclusive when dealing with probabilities, as this impacts how you calculate combined probabilities.

Understand the concept of mutually exclusive events in probability theory. Learn how to determine the probability of events A and B being mutually exclusive, where the probability of both events occurring together is zero.

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