Question

A single card is drawn at random from a standard deck of $52$ playing cards. Compute the probability to get the card is not a queen.

• A. $\frac{1}{26}$
• B. $\frac{4}{13}$
• C. $\frac{1}{13}$
• D. $\frac{12}{13}$

Answer 1

The correct option is D $\frac{12}{13}$

Total number of playing cards $=52$

Number of queens in a deck of $52$ cards $=4$

$P$ (the card is a queen) $=$ $\frac{\text{Number of favourable outcomes}}{\text{Number of total possible outcomes}}$

$=$ $\frac{4}{52}=\frac{1}{13}$

$P$ (the card is not a queen) $=1-$ P(the card is a queen)

$=$ $1-\frac{1}{13}$

$=$ $\frac{12}{13}$