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A person draws a card from a well shuffled pack of 52 playing cards. Replaces it and shuffles the pack. He continues doing so until he draws as pade.

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A person draws a card from a well shuffled pack of 52 playing cards. Replaces it and shuffles the pack. He continues doing so until he draws as pade. The chance that he fails first two times is A. 1 16 B. 9 16 C. 9 64 D. 1 64 Select the correct answer from above options

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Correct Answer - B Let Ai be the event that the person fails in ith draw. Then, P(Ai)=1- 13 52 = 3 4 ,i=1,2,3,.. ∴ Required Probability =P(A1∩A2)=P(A1)P(A2) ⇒ Required probability = 3 4 × 3 4 = 9 16

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