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23 April, 09:42

A bag contains 4 tan socks and 7 grey socks. emily reaches into the bag and randomly selects two socks without replacement. what is the probability that emily will get different-colored socks?

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  1. 23 April, 12:41
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    Tan socks = 4

    Grey socks = 7

    Total number of socks = 4+7 = 11 socks

    Probability of picking a tan sock then grey sock:

    P (T) * P (G) = (4/11) * (7/10) = 14/54

    Probability of picking a Grey sock then Tan sock

    P (G) * P (T) = (7/11) * (4/10) = 14/55

    Probability of two different colored socks

    P (T&G) + P (G&T) = (14/55) + (14/55) = 28/55
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