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Luda [366]
3 years ago
14

A closet contains 10 pairs of shoes. if 8 shoes are randomly selected, what is the probability that there will be

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
6 0
There are 10 pairs of shoes. 8 shoes are select. 

<span>P = (2/20) (2/19) (2/18) (2/17) (2/16) (2/15) (2/14) (2/13) </span>
<span>P = 2^8 / (20P8) </span>

<span>But, any 8 differents shoes can be chosen from 10 pairs. </span>
<span>so there are 10C8 = 45 ways to do so </span>
<span>P = 45 * 2^8 / (20C8) </span>

<span>But, since order does not matter, there are 8! way you can select the 8 different shoes </span>

<span>P = 8! * 45 * 2^8 / (20C8) </span>
<span>P = 384/4199 or about 9.145%</span>
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