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

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

MARKS Content Team · Accepted Answer

Correct answer: (C) 561/15925. 18 draws are required for 2 aces means in the first 17 draws, there is one ace and 16 non-ace and 18^th draw 2^nd ace. Required probability =(C1648×C14)/C1752×3/35=561/15925

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

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