Question

A card is drawn from a pack of $52$ cards at random. The probability of getting neither an ace nor a king card is:

• A. $\frac{2}{13}$
• B. $\frac{11}{13}$
• C. $\frac{4}{13}$
• D. $\frac{8}{13}$

Answer 1

The correct option is B $\frac{11}{13}$

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

Number of king cards in a deck $=4$

Thus, number of ace and king cards are $4+4=8$.

Number of cards neither an ace nor a king card $=52-8=44$.

Therefore, the probability of getting 'neither an ace nor a king card'

$=\frac{44}{52}=\frac{11}{13}$