Two cards are drawn at random from a pack of 52 cards. probability that both are cards of spade is

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14.Probability

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Two cards are drawn at random from a pack of $52$ cards. The probability that both are the cards of spade is

A

$\frac{1}{{26}}$

B

$\frac{1}{4}$

C

$\frac{1}{{17}}$

D

None of these

Solution

(c) Required probability $ = \frac{{{}^{13}{C_2}}}{{{}^{52}{C_2}}} = \frac{{13\,.\,12}}{{52\,.\,51}} = \frac{1}{{17}}$.

Standard 11

Mathematics

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