Explore BrainMass

Explore BrainMass

    Probability - drawer with socks

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    1) A drawer contains n=5 different and distinguishable pairs of socks
    (a total of 10 socks). If a person randomly selects 4 socks, what is
    the probability that there is no matching pair in the sample?

    2) A drawer contains n different and distinguishable pairs of socks (a
    total of 2n socks). A person randomly selects 2r of the socks, where
    2r > n. In terms of n and r, what is the probability that there is no
    matching pair in the sample?

    © BrainMass Inc. brainmass.com November 29, 2021, 11:59 pm ad1c9bdddf
    https://brainmass.com/math/probability/probability-drawer-with-socks-13698

    Solution Preview

    1) These socks are distinct, so the order of choice is important. The total possible choices are: 10*9*8*7, i.e. we have ten options first, then 9 for the second choice and so on.
    The possible desired methods are 10*8*6*4, i.e. again we can choose any one of them, ...

    Solution Summary

    There are two probability questions regarding a drawer with socks of different colors here.

    $2.49

    ADVERTISEMENT