Question

a card is drawn from a standard deck of 52 playing cards. find the probability that the card is an ace or a king.
a. $\frac{1}{13}$
b. $\frac{8}{13}$
c. $\frac{2}{13}$
d. $\frac{4}{13}$

Explanation:

Step1: Count number of aces and kings

A standard deck has 4 aces and 4 kings. So the number of favorable outcomes (ace or king) is $4 + 4=8$.

Step2: Calculate probability

Probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Total number of outcomes is 52 (since there are 52 cards in a deck). So $P = \frac{8}{52}=\frac{2}{13}$.

Answer:

C. $\frac{2}{13}$