If a person draws three cards from a standard deck (without replacing them), what is the probability that at least one of the cards is a face card? (Round your answer to one decimal place.)
To find the probability of at least one face card, we can first find the probability of not drawing any face cards and then subtract that from 1.
There are 12 face cards in a standard deck (3 face cards in each of the 4 suits) and 40 non-face cards (10 cards - 3 face cards = 7 non-face cards in each of the 4 suits).
The probability of drawing no face cards is equal to the probability of drawing a non-face card on the first, second, and third draw:
(40/52) * (39/51) * (38/50) = 0.6588
Now, subtract this probability from 1:
1 - 0.6588 = 0.3412
The probability of drawing at least one face card is approximately 34.1%.