Each of four friends orders a sweatshirt from a catalog. there are 18 colors of sweatshirts, 6 of which are all cotton and 12 of which are a blend. each one orders a different color (no repeats) at random. what is the probability that the friends order only cotton sweatshirts?

a. 91 divided by 15.

b. 77 divided by 255.

c. 1 divided by 204.

d. 1 divided by 15.

Question

Tucker Snyder

Mathematics

3 October, 16:35

Each of four friends orders a sweatshirt from a catalog. there are 18 colors of sweatshirts, 6 of which are all cotton and 12 of which are a blend. each one orders a different color (no repeats) at random. what is the probability that the friends order only cotton sweatshirts?

a. 91 divided by 15.

b. 77 divided by 255.

c. 1 divided by 204.

d. 1 divided by 15.

+2

Answers (1)

Know the Answer?

Remington Matthews · Answer 1

There are 16 sweatshirts in total.

7 of which are cotton.

There are 4 friends.

Say they all choose cotton sweatshirts,

First friend: (7/16)

Second friend: (6/15)

Third friend: (5/14)

Fourth friend: (4/13)

Multiply these together = (7/16) * (6/15) * (5/14) * (4/13)

= 0.01923076923 = 1.92%

1.92% is the probability all friends order cotton sweatshirts