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17 October, 06:53

The probability that event M will not occur is 0.8 and the probability that event R will not occur is 0.6. If events M and R cannot both occur, which of the following is the probability that either event M or event R will occur?

A) 1/5 B) 2/5 C) 3/5 D) 4/5 E) 12/25

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  1. 17 October, 10:44
    0
    11/25 The right answer is not a part of the options given.

    Step-by-step explanation:

    Given;

    Probability that event M will not occur = 0.8

    Probability that event R will not occur = 0.6

    Then the;

    Probability that event M will occur = 1 - 0.8 = 0.2

    Probability that event R will occur = 1 - 0.6 = 0.4

    If events M and R cannot both occur, probability that either event M or event R will occur

    = probability that M occurs and R does not or the probability that R occurs and M does not

    = 0.2 * 0.6 + 0.4 * 0.8

    = 0.12 + 0.32

    = 0.44

    = 11/25
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