An integer is chosen at random from the numbers 1,2,…,25. The probability that the chosen number is divisible by 3 or 4, is

An integer is chosen at random from the numbers 1,2,...,25. The probability that the chosen number is divisible by 3 or 4, is

  1. A

    2/25

  2. B

    11/25

  3. C

    12/25

  4. D

    14/25

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    Solution:

    Numbers divisible by 3 are 3, 6, 9, 12, 15,18,21,24
    and numbers divisible by 4 are 4, 8, 72, 16,20,24
    and numbers divisible by (3 x 4 = 12) are 12, 24
    probability that the chosen number is divisible by 3 or 4= 8C1 25C1+ 6C1 25C1 2C1 25C1=1225

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