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March 28, 2017

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A bag holds 8 yellow marbles and 5 orange marbles. How many and what color marbles would you add to the bag so that the probability of picking a yellow marble is 2/3?

  • Math - ,

    lets add x yellow marbles

    so (x+8)/(x+13) = 2/3
    3x + 24 = 2x + 26
    x = 2

    must add 2 yellows

    or


    lets add y orange marbles
    8/(y+13) = 2/3
    2y + 26 = 24
    2y = -2
    y = -1

    or we could take out 1 orange marble
    Proof:
    yellow = 8
    orange = 4
    total = 12
    prob of yellow = 8/12 = 2/3

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