Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

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?

Sagot :

718074

Answer: 16 sweatshirts

Step-by-step explanation:  

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