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?
options:
○ \\(\frac{1}{52}\\)
○ \\(\frac{1}{48}\\)
○ \\(\frac{1}{13}\\)
○ \\(\frac{4}{13}\\)

Explanation:

Step1: Identify total and favorable outcomes

Total cards: $52$, Jacks: $4$.

Step2: Calculate probability

Probability = $\frac{\text{Favorable}}{\text{Total}} = \frac{4}{52}$

Step3: Simplify the fraction

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

Answer:

$\frac{1}{13}$