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15 March, 09:02

Find the probability p (e or f) if e and f are mutually exclusive, p (e) equals 0.25 , and p (f) equals 0.51.

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  1. 15 March, 09:22
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    The definition of two events being mutually exclusive (or disjoint) only means that it is not possible for the two events to occur together. Given two events, E and F, they are mutually exclusive and also mean independent.

    In this case, since events E and F are mutually exclusive, therefore the probability that either E or F will occur will simply be the sum of two events.

    P (E or F) = P (E) + P (F)

    P (E or F) = 0.25 + 0.51

    P (E or F) = 0.76

    Therefore this means that there is a 76% probability that either E or F will occur.
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