Final answer:
The probability of drawing a face card from a standard deck of 52 playing cards is 3/13.
Step-by-step explanation:
To find the probability of drawing a face card (jack, queen, king) from a standard deck of 52 playing cards, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.
There are a total of 52 cards in a standard deck, and out of those, there are 12 face cards (4 jacks, 4 queens, and 4 kings).
Therefore, the probability of drawing a face card is:
P(face card) = number of face cards / total number of cards
P(face card) = 12 / 52
Reducing the fraction to its simplest form, we have:
P(face card) = 3 / 13
Therefore, the probability is 3 / 13