Suppose that six guests check their hats when they arrive at the Cigar Parlor and that these hats are returned randomly when the

Question

posledela

3 years ago

10

Suppose that six guests check their hats when they arrive at the Cigar Parlor and that these hats are returned randomly when the

y leave. Determine the probability that no guest will receive the proper hat.

Mathematics

1 answer:

marissa [1.9K] · Answer 1 · 2022-03-06T13:23:13+03:00

Answer:

0.1667

Step-by-step explanation:

There are 6! ways to arrange the hats. The number of ways for which no guest will receive the proper hat is 5! (since there are 5 wrong hats for the first guest, 4 for the second guest, and so on). The probability that no guest will receive the proper hat is:

$P=\frac{5!}{6!}=0.1667$

The probability is 0.1667.