A card is drawn at random from a pack of playing cards. What is the probability of getting a face card?

A standard deck of playing cards contains 52 cards.

Face cards in a deck are the Jack, Queen, and King from each suit (Spades, Hearts, Diamonds, and Clubs).

Each suit has 3 face cards, so there are 3×4=12face cards in total.

The probability of an event is given by:

​$$P(\text{Event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$$​​

Total number of cards = 52

Number of face cards = 12

So, the probability of drawing a face card:

​$$P(\text{Face card}) = \frac{12}{52} = \frac{3}{13}$$​​

The probability of getting a face card is $$\frac{3}{13}​.$$​​