Question

In: Statistics and Probability

Revisit Bryden’s sock drawer from earlier in the test (4 Cool socks, 6 Hunk socks, 2...

Revisit Bryden’s sock drawer from earlier in the test (4 Cool socks, 6 Hunk socks, 2 Genius socks). If Mr. Smith draws out two socks, one at a time for Bryden to wear, what is the probability that they do not match?  

Solutions

Expert Solution

total number of socks = (4+6+2)=12

he selects 2 socks from the 12 socks without replacement.

the probability that they do not match = (1- the probability that they will match)

probability of wearing both cool socks :-

probability of wearing both Hunk socks :-

probability of wearing both genius socks :-

so, the probability that they will match :-

= probability of wearing both cool socks +probability of wearing both Hunk socks +probability of wearing both genius socks

If Mr. Smith draws out two socks, one at a time for Bryden to wear, what is the probability that they do not match be:-

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