Question

what is the probability of selecting a face card from a standard deck of cards?

Explanation:

Step1: Determine the number of face cards and total cards

A standard deck has 52 cards. Face cards (Jack, Queen, King) for each of 4 suits. So number of face cards \(= 3\times4 = 12\). Total number of cards \(n = 52\).

Step2: Use the probability formula

Probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, number of favorable outcomes (face cards) \(m = 12\), total number of outcomes \(n = 52\). So \(P=\frac{12}{52}=\frac{3}{13}\) (simplified by dividing numerator and denominator by 4).

Answer:

\(\frac{3}{13}\)