Question

you are dealt one card from a standard 52 - card deck. find the probability of being dealt a face card. click the icon to view a description of a standard deck of playing cards. the probability of being dealt a face card is (type an integer or a simplified fraction.)

Explanation:

Step1: Determine the number of face cards

In a standard 52 - card deck, there are 12 face cards (4 Jacks, 4 Queens, and 4 Kings).

Step2: Calculate the probability

The probability formula is \(P(A)=\frac{n(A)}{n(S)}\), where \(n(A)\) is the number of favorable outcomes and \(n(S)\) is the total number of outcomes. Here, \(n(A) = 12\) (number of face cards) and \(n(S)=52\) (total number of cards in the deck). So, \(P=\frac{12}{52}\). Simplifying the fraction \(\frac{12\div4}{52\div4}=\frac{3}{13}\).

Answer:

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