A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability of getting neither a red card nor a queen.

Given: A card is drawn at random from a well shuffled pack of 52 playing cards.

To do: To find the probability of getting neither a red card nor a queen.

Solution:

There are 26 red cards including 2 red queens.

Two more queens along with 26 red cards will be $26\ +\ 2\ =\ 28$

$\therefore$ Probability of getting a red card or a queen $=\frac{28}{52}$

$\therefore$ Probability of getting neither a red card nor a queen $=1\ –\frac{7}{13} =\frac{13-7}{13} =\frac{6}{13}$

Hence Probability of getting neither a red card nor a queen is $\frac{6}{13}$
 

Updated on: 10-Oct-2022

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