Question

A card is drawn at random from a well shuffled pack of $52$ cards. The probability that the cards drawn is neither a red card nor a queen is ____________.

• A. $\frac{6}{13}$
• B. $\frac{5}{13}$
• C. $\frac{4}{13}$
• D. $\frac{2}{13}$

Answer 1

Answer: (A)

$\frac{6}{13}$

Total number of red cards in a deck of card is $(13+13)=26$.

Total queens are $4$ in which $2$ are red and $2$ are black.

Total number of red cards and queens is $(26+2)=28$.

Thus required probability is

$=1-\frac{28}{52}$

$=\frac{24}{52}$

$=\frac{6}{13}$