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math

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a draw holds 5 navy socks, 7 white socks and 6 black socks. if two socks are selected at random without looking what is the probability that they do no match?

  • math -

    Ways to get 2 socks out of 18
    =(18,2)=18!/(2!(18-2)!)
    =153
    Ways to get 2 navy socks
    =(5,2)
    Ways to get 2 white socks
    =(7,2)
    Ways to get 2 black socks
    =(6,2)
    So ways to get two different coloured socks
    =(153-(5,2)-(6,2)-7,2))
    out of a total possible 153 ways.

    Calculate the probability.
    I get less than 70%.

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