Question

what is the probability of drawing an ace from a standard deck of 52 cards?
a. $\frac{1}{13}$
b. $\frac{1}{26}$
c. $\frac{1}{4}$
d. $\frac{1}{52}$

Explanation:

Step1: Determine the number of favorable outcomes

A standard deck has 4 Aces. So, the number of favorable outcomes \( n(F)=4 \).

Step2: Determine the total number of outcomes

The total number of cards in a deck \( n(T) = 52 \).

Step3: Use the probability formula

The probability formula is \( P=\frac{n(F)}{n(T)} \). Substituting the values, we get \( P=\frac{4}{52}=\frac{1}{13} \).

Answer:

A. \( \frac{1}{13} \)