Question

A single card is drawn at random from a standard deck of $52$ playing cards. Compute the probability to get a king or jack card.

• A. $\frac{1}{26}$
• B. $\frac{2}{13}$
• C. $\frac{13}{52}$
• D. $\frac{11}{52}$

Answer 1

The correct option is B $\frac{2}{13}$

Total number of playing cards $=52$

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

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

Total number of king or jack in a deck of $52$ cards $=4+4=8$

$P$ (getting a king or jack) $=$ $\frac{\text{Number of king or jack cards}}{\text{Total number of playing cards}}$

$=$ $\frac{8}{52}=\frac{2}{13}$