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Cards are drawn one-by-one at random from a well-shuffled pack of 52 playing cards until 2 aces are obtained
from the first time. The probability that 18 draws are required for this is

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a
3/34
b
17/455
c
561/15925
d
None of  these

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detailed solution

Correct option is C

18 draws are required for 2 aces. This means in the first 17 draws, there is one ace and 16 other cards, and 18thdraw produces an ace. so, the required probability is 48C16×4C1 52C17×335=56115925


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