If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A ∪ B) = a. 0.00. b. 0.20.

Question

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A ∪ B) = a. 0.00. b. 0.20. c. 0.80. d. 0.15.

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Raelynn 6 days 2021-10-12T07:58:07+00:00 1 Answer 0

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    2021-10-12T07:59:19+00:00

    Answer:

    c. 0.80

    Step-by-step explanation:

    If two events A and B are mutually exclusive they cannot occur simultaneously, but they can occur independently and so their individual probabilities can be added.

    P(A \cap B) = 0\\P(A \cup B) = P(A) + P(B)

    Therefore:  P(A ∪ B) is:

    P(A \cup B) = 0.3+0.5\\P(A \cup B) = 0.8

    Thus, the answer is c. 080

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