Question

Each of four friends orders a sweatshirt from a catalog. There are 16 colors of sweatshirts, 7 of which are all cotton and 9 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?

Answer 1

Answer:

1/52.

Step-by-step explanation:

The first friend's chance of picking a cotton shirt = 7/16, then the second one has a chance of 6/15  and so on ...

So the required probability is

7/16 * 6/15 * 5/14 * 4/13

= 840 / 43680

= 1/52.

Answer 2

Answer:

Step-by-step explanation:

There are total 16 sweatshirts.

Now the probability that first friend will get the cotton sweatshirt$=\frac{7}{16}$

probability that the second friend wiil get the cotton sweatshirt$=\frac{6}{15}$

similarly,

probability that the third and fourth friend will get the cotton sweatshirt

$=\frac{5}{14} and \frac{4}{13}$

Therefore, the probability that the friends order only cotton sweatshirt$=\frac{7}{16} \frac{6}{15} \frac{5}{14} \frac{4}{13}$$=\frac{840}{175500}$