Out of 30 consecutive integers, 2 are chosen at random. The probability that their sum is odd, is

Out of 30 consecutive integers, 2 are chosen at random. The probability that their sum is odd, is

  1. A

    14/29

  2. B

    16/29

  3. C

    15/29

  4. D

    10/29

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    Solution:

    The sum of the selected numbers is odd, if exactly one of them is even and one is odd.
     Favorable number of cases =   15C115C1
    Required probability = 15C115C1 30C2=1529

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