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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?

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 class=

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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:

Step-by-step explanation:

There are total 16 sweatshirts.

Now the probability that first friend will get the cotton sweatshirt[tex]=\frac{7}{16}[/tex]

probability that the second friend wiil get the cotton sweatshirt[tex]=\frac{6}{15}[/tex]

similarly,

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

[tex]=\frac{5}{14} and \frac{4}{13}[/tex]

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

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