# probability: mutually exclusive events, independent events

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Let A and B be two events such that P(A) = 0.32 and P(B) = 0.41.

a. Determine the probability of the union of A and B given that A and B are mutually exclusive.

b. Determine the probability of the union of A and B given that A and B are independent.

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##### Solution Summary

In this problem the probabilities of two events, A and B, are given. From this information, we find the probability of the union of the two events if:

1. The events are mutually exclusive.

2. The events are independent.

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Recall that the formula for the union of two events is the following:

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