A magician shuffles a standard deck of playing cards and allows an audience member to pull out a card, look at it, and replace i

Question

3 years ago

15

A magician shuffles a standard deck of playing cards and allows an audience member to pull out a card, look at it, and replace i

t in the deck. Four additional people do the same. Find the probability that of the 5 cards drawn, at least 1 is a face card. (Round your answer to one decimal place.)

Mathematics

1 answer:

DerKrebs [107] · Answer 1 · 2022-07-03T22:13:37+03:00

Step-by-step explanation:

There are 12 face cards (4 kings, 4 queens, and 4 jacks).

That means 40 cards are not face cards.

The probability that at least 1 of the 5 cards drawn is a face card is equal to 1 minus the probability that all of the cards were not face cards.

P(at least 1) = 1 − P(no face cards)

P = 1 − (40/52)⁵

P = 0.731

The probability is 73.1%.