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Tyro
Asked: 2020-12-20T15:42:04+00:00 In:

What is the probability that the number is either a multiple of 3 or a multiple of 5?

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A number is selected randomly from the set of integers 1 to 20 inclusive. What is the probability that the number is either a multiple of 3 or a multiple of 5?

integersmultipleprobability

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  2. Sengemegz
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    This answer was edited.

    Sample space={1, 2, 3, 4, 5, 6...20}

    P(multiple of 3)={3,6,9,12,15,18}

    P(multiple of 5)={5,10,15,20}

    P(multiple of 3 or 5)=P(multiple of 3)+P(multiple of 5)

    \Rightarrow \dfrac{6}{20}+\dfrac{4}{20}=\dfrac{10}{20}

    \Rightarrow \dfrac{1}{2}

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