Question

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

Explanation:

Step1: Calculate total number of cards

A standard deck has \(52\) cards.

Step2: Calculate number of aces

There are \(4\) aces in a deck.

Step3: Use probability formula

Probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So \(P = \frac{4}{52}\), and simplifying \(\frac{4\div4}{52\div4}=\frac{1}{13}\).

Answer:

C. \(\frac{1}{13}\), D. \(\frac{4}{52}\) (since \(\frac{4}{52}\) simplifies to \(\frac{1}{13}\))