A magician shuffles a standard deck of playing cards and allows an audience member to pull out a card, look at it, and replace it in the deck. Two additional people do the same. Find the probability that of the 3 cards drawn, at least 1 is a face card. (Round your answer to one decimal place.)

Question

%

Answer 1

There are a total of 52 cards in a deck, and 12 of them are face cards. Therefore, the probability that any one card drawn is a face card is 12/52 = 3/13.

The probability that none of the 3 cards drawn are face cards is:

(10/13) * (10/13) * (10/13) = 1000/2197

So, the probability that at least 1 of the 3 cards drawn is a face card is:

1 - 1000/2197 = 1197/2197

Rounding to one decimal place, this is approximately 54.5%.

Therefore, the probability that of the 3 cards drawn, at least 1 is a face card is approximately 54.5%.