Question

What is the probability of not picking a king if you choose randomly from a pack of 52 cards?

• A. $\frac{51}{52}$
• B. $\frac{1}{52}$
• C. $\frac{12}{13}$
• D. $\frac{1}{13}$

Answer 1

The correct option is C

$\frac{12}{13}$

Since there are 4 kings in a deck of 52, the probability of drawing a king is $\frac{4}{52}$ = $\frac{1}{13}$.
Hence, the probability of not picking a king is 1 - $\frac{1}{13}$ = $\frac{12}{13}$.
($\because$ For an event E, P(E)=1-P(not E))