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How do you find the probability of the union of two events?


Ravindra Pindel 17th Mar, 2021
Answer (1)
Ravindra Pindel 17th Mar, 2021

To find the probability of the union of two events A and B (denoted as P(A ∪ B)), use the formula:
P(A ∪ B) = P(A) + P(B) – P(A ∩ B).

This formula accounts for the overlap between the two events so that it is not counted twice. If A and B are mutually exclusive (cannot happen together), then P(A ∩ B) = 0, and the formula becomes P(A ∪ B) = P(A) + P(B).

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