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Math Help - probability problem

  1. #1
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    probability problem

    A room contains twelve people who are wearing badges numbered 1 to 12. If three people are randomly selected, what is the probability that the person wearing badge 6 will be included?


    I did 1/(12C3) and got 1/55. I'm not sure if I did it right =O
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  2. #2
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    \frac {{11 \choose 2}} {{12 \choose 3}} = \frac {1}{4}
    WHY?
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  3. #3
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    Since I am only looking for the chance badge 6 will be included, it is one choice out of choosing 3 from a total of 12. Is it incorrect? O.O What is it supposed to be?
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