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  • All the spades are taken out from a pack of cards. From these cards, cards are drawn one by one without replacement till the ace of spades comes. The probability that the ace comes in the 4 th draw

All the spades are taken out from a pack of cards. From these cards, cards are drawn one by one without replacement till the ace of spades comes. The probability that the ace comes in the 4 th draw is

Option: 1

\frac{1}{13}


Option: 2

\frac{12}{13}


Option: 3

\frac{4}{13}


Option: 4

None of these


Answers (1)

best_answer

The probability of not drawing the ace in the first draw, in the second draw and in the third draw are \frac{12}{13}, \frac{11}{12} \text{ and } \frac{10}{11} respectively.

The probability of drawing ace of spades in the fourth draw =\frac{1}{10}

\therefore  The required probability =\frac{12}{13} \times \frac{11}{12} \times \frac{10}{11} \times \frac{1}{10}=\frac{1}{13} .

Posted by

Sanket Gandhi

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