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If events a and b are mutually exclusive, then the probability of both events occurring simultaneously is equal to:

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Final answer:

If events A and B are mutually exclusive, then the probability of both events occurring simultaneously is equal to zero.

Step-by-step explanation:

If events A and B are mutually exclusive, then the probability of both events occurring simultaneously is equal to 0.

Mutually exclusive events are events that cannot occur at the same time. This means that they do not share any outcomes. Therefore, the probability of both events occurring simultaneously is zero.

For example, if event A is rolling a six on a fair die and event B is rolling a one on the same die, then the probability of both events occurring simultaneously (rolling a six and a one) is zero because they cannot happen at the same time.

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