in a random experiment, a fair die is rolled until two fours are obtained in succession. The probability that the experiment will end in the fifth throw of the die is equal to

in a random experiment, a fair die is rolled until two fours are obtained in succession. The probability that the experiment will end in the fifth throw of the die is equal to

  1. A

    150/65

  2. B

    225/65

  3. C

    175/65

  4. D

    200/65

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    Solution:

    Let p be the success that die turns up 4.

    p=16,q=56. Here n=5

     Required Probability

    =563162+2C1562163=1653+2×52=17565

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