Question

the theoretical probability of drawing an ace from a deck of cards is: a. $\frac{1}{10}$ b. $\frac{1}{13}$ c. $\frac{1}{26}$ d. $\frac{4}{52}$

Explanation:

Step1: Determine the number of aces and total cards

A standard deck has 52 cards. There are 4 aces.

Step2: Use the probability formula

Probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, number of favorable outcomes (aces) \(n = 4\), total number of outcomes \(N=52\). So \(P=\frac{4}{52}\).

Step3: Simplify the fraction

\(\frac{4}{52}=\frac{4\div4}{52\div4}=\frac{1}{13}\)

Answer:

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