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Math Help - Probability and odds?

  1. June 14th 2011, 09:26 AM #1
    homeylova223
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    Probability and odds?

    A box contains 1 green, 2 yellow, and 3 red marbles. Two marbles are drawn at random without replacement. What are the odds of each event occurring?

    1. Drawing to different colours

    I am kind of confused on how to start this problem.
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  2. June 14th 2011, 09:43 AM #2
    Plato
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    Re: Probability and odds?

    Quote Originally Posted by homeylova223 View Post
    A box contains 1 green, 2 yellow, and 3 red marbles. Two marbles are drawn at random without replacement. What are the odds of each event occurring?
    1. Drawing to different colours?
    I do not deal with odds.
    But I can give the probabilities.
    \mathcal{P}(\{G,Y\})=2\left(\frac{1}{6}\cdot\frac{ 2}{5}\right)~, \mathcal{P}(\{G,R\})=2\left(\frac{1}{6}\cdot\frac{ 3}{5}\right)~,~\&~, \mathcal{P}(\{R,Y\})=2\left(\frac{3}{6}\cdot\frac{ 2}{5}\right)~.

    To have two different colours, it must be one of those three.

    What is the answer?
    Last edited by Plato; June 14th 2011 at 10:24 AM.
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  3. June 14th 2011, 10:39 AM #3
    homeylova223
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    Re: Probability and odds?

    As my answer I got 11/4 I added up all the success probabilities subtracted by one to get the failures and then I did probability of success/ probability of failure.
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