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    tstharu89's Avatar
    tstharu89 Posts: 1, Reputation: 1
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    #1

    Jan 20, 2012, 06:33 AM
    find the probability?
    A bag contains 5 white and 7 black balls . 3 balls are drawn at random . Find the probability that (I) all are white (ii) one white and 2 black
    FreeWarrior's Avatar
    FreeWarrior Posts: 3, Reputation: 1
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    #2

    Jan 20, 2012, 01:57 PM
    Are they being drawn at the same time. As there are no instructions on that, I'll assume they are not.
    I don't know the name of what I'll be using in english but you have got to do a diagram.
    On the 1st part of the diagram, it is divided in 2 parts (one for white and one for black). The white starts with 5/12 (probability of the 1st ball being white), then it is 4/11, assuming the 1st ball was white, then ends with 3/10. Now 5/12*4/11*3/10=60/1320 which is equal to 6/132=3/66=1/12. This is the probabilty of all of them being white.
    Now for the second part of the question, the first ball is white, therefore it starts with 5/12. But now the second one is black, so it is 7/11 (the 7 black balls are still there, but there are 11 in total because the white was removed). The third one will therefore be 6/10. Once again, 5/12*7/11*6/10= 210/1320= 21/132= 7/41.
    I don't renember this quite well because it was sometime ago, but I think this is right.

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