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ss7ja [257]
3 years ago
10

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?
Mathematics
2 answers:
sashaice [31]3 years ago
6 0
<span>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)

As you can see, there is a deduction in total number of sweatshirts available to be chosen and also in the total number of cotton sweatshirts available to be chosen.

Multiply these together = </span><span>(7/16)*(6/15)*(5/14)*(4/13)
= </span><span>0.01923076923 = 1.92%

1.92% is the probability all friends order cotton sweatshirts</span>
Alisiya [41]3 years ago
3 0
If you wanna estimate the probability of an event to happen, you have to multiply the probability of success of all the situations involved.

- Probability to get the first sweatshirt made of cotton: 7 of 16.
- Probability for the second one: 6 of 15, because there's one shirt less, and one cotton less.
- Prob for the third: 5 of 14
- Prob for the fourth: 4 of 13

So the probability to get four cotton shirts is: 7/16·6/15·5/14·4/13 = 0'019, something that could be rounded to 2%.
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