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Math Help - Card type problem, 3 draws

  1. #1
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    Card type problem, 3 draws

    I read the sticky and watched some videos and learned a bit about some basic statistics concepts.

    I am struggling with the following problem:

    You have a stack of 10 cards.
    7 are black 3 are red
    If you draw 3 cards from the same pool of 10, what is the probability that at least 1 will be red?

    Thanks for any help.
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  2. #2
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    Re: Card type problem, 3 draws

    Quote Originally Posted by hardwarefailure View Post
    You have a stack of 10 cards.
    7 are black 3 are red
    If you draw 3 cards from the same pool of 10, what is the probability that at least 1 will be red?
    It is 1 minus the probability that none of the three is red.
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  3. #3
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    Re: Card type problem, 3 draws

    Quote Originally Posted by Plato View Post
    It is 1 minus the probability that none of the three is red.
    And what is the probability that none of the 3 are red?

    Is that (7/10)*(6/9)*(5/7)?

    If so the probability of said problem is .666 or 2/3?

    Thanks again.
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