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Math Help - Dependent Events

  1. #1
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    Question Dependent Events

    Am I doing this question right so far? I need your feedback.

    "A bag contains 30 poker chips of different colors. They consist of the following:

    Blue Chips: 11
    Green Chips: 7
    Red Chips: 2
    White: 10

    If 4 poker chips are drawn from the bag without replacement, what is the probability of drawing one poker chip of each color?"

    So far, I have:

    P (BGRW) = 11/30 x 7/29 x 2/28 x 10/27



    Is it right thus far or am I forgetting something?

    Thankyou!
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  2. #2
    MHF Contributor matheagle's Avatar
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    This is a hypergeometric and its better to use the choose formula.

    { {11\choose 1}{7\choose 1}{2\choose 1}{10\choose 1}\over {30\choose 4}}

    You need an extra 4!=24 if you do it your way.
    My way takes out the order.
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  3. #3
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    Ah, thanks matheagle.
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