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8 October, 11:01

Suppose a number from 1 to 100 is selected at random. what is the probability that a multiple of 4 or 5 is chosen?

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  1. 8 October, 13:38
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    The range 1-100 is 100 numbers, divide by 4 and 5 to find the number of multiples.

    100/4 = 25

    100/5 = 20

    probability of choosing multiple of 4

    25/100 = 1/4

    probability of choosing multiple of 5

    20/100 = 1/5

    the probabilities are not mutually exclusive because there are duplicate numbers, (overlap) multiples of both 4 and 5 being counted twice. 5/100 = 1/20

    20, 40, 60, 80, 100

    when "or" is used, add the probabilities, subtract the duplicates.

    1/4 + 15 - 1/20 =

    5/20 + 4/20 - 1/20 = 8/20 = 2/5
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