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1 January, 05:10

A bag contains 3 red marbles, 5 blue marbles and 6 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be blue?

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  1. 1 January, 05:30
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    0.027 to the nearest thousandth.

    Step-by-step explanation:

    There are 14 marbles in the bag, so:

    Prob (a blue on the first draw) = 5/14.

    Prob (a blue on the 2nd draw) = 4/13.

    Prob (a blue on the 3rd draw) = 3/12 = 1/4.

    So the required probability is 5/14 * 4/13 * 1/4

    = 20 / 728

    = 0.02747.
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