Question

margaret is playing a game with a standard deck of 52 cards which contains 4 jacks. the first player to select a jack gets to start the game. what is the theoretical probability that margaret, when choosing first, will choose a jack?
1/52
1/48
1/13
4/13

Explanation:

Step1: Recall probability formula

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$.

Step2: Identify favorable and total outcomes

The total number of cards is 52, so the total number of outcomes is 52. The number of jacks is 4, so the number of favorable outcomes is 4.

Step3: Calculate the probability

$P=\frac{4}{52}=\frac{1}{13}$

Answer:

$\frac{1}{13}$