math

there are 6 purple socks and 4 orange socks in a drawer. zucky picked one sock without looking and then another without looking or replacing the first. what is the probability that he picked 2 purple socks?

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  1. Total number of socks = 6+4 = 10

    For the first pull:

    There are 6 purple socks out of 10 total socks

    6/10

    At his second pull, lets assume that he luckily pulled a purple sock out

    There are now 9 socks total because he pulled one out, and 5 purple socks left because we assumed he pulled a purple sock out

    So the next pull's probability is:

    5/9

    So the probability that he will pull two purple socks is:

    (6/10)*(5/9) = 1/3 or 33.3% if you convert it to a percentage

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