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Math Help - marbles

  1. #1
    Junior Member
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    marbles

    a bag contains 3 red, 4 white, and 5 blue marbles. Jason begins removing marbles from the bag at random, one at a time. What is the least number of marbles he must remove to be sure that he has at least 1 marble of each color?


    I thank you all in advance,
    thank you
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  2. #2
    Member Glaysher's Avatar
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    Worse case scenario is keeps taking the most common colours and none of the rarest leading to selecting 4 white and 5 blue.

    Plus 1 red to get one of each colour
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  3. #3
    MHF Contributor Quick's Avatar
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    Quote Originally Posted by Judi
    a bag contains 3 red, 4 white, and 5 blue marbles. Jason begins removing marbles from the bag at random, one at a time. What is the least number of marbles he must remove to be sure that he has at least 1 marble of each color?


    I thank you all in advance,
    thank you
    3, if he draws one color after another, he only needs to draw 3 marbles
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by Quick
    3, if he draws one color after another, he only needs to draw 3 marbles
    Least number to be sure of at least one of each colour. If 3 are taken then
    they could all be red, or whatever without there being one of each colour.

    The first answer in this thread is correct.

    RonL
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  5. #5
    MHF Contributor Quick's Avatar
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    tsk, tsk

    Quote Originally Posted by CaptainBlack
    Least number to be sure of at least one of each colour. If 3 are taken then
    they could all be red, or whatever without there being one of each colour.

    The first answer in this thread is correct.

    RonL
    I didn't realise it said "sure" to be taken
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  6. #6
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    thanks,
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