Six cards are drawn simultaneously from a pack of playing cards. probability that 3 will be red and

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14.Probability

easy

Six cards are drawn simultaneously from a pack of playing cards. What is the probability that $3$ will be red and $3$ black

A

$^{26}{C_6}$

B

$\frac{{^{26}{C_3}}}{{^{52}{C_6}}}$

C

$\frac{{^{26}{C_3}{ \times ^{26}}{C_3}}}{{^{52}{C_6}}}$

D

$\frac{1}{2}$

Solution

(c) Required probability $ = \frac{{{}^{26}{C_3}\,.\,{}^{26}{C_3}}}{{{}^{52}{C_6}}}$.

Standard 11

Mathematics

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