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22 October, 23:29

A bag contains 3 red marbles, 7 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that both marbles drawn will be blue?

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  1. 22 October, 23:44
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    0.218

    Step-by-step explanation:

    Probability is the likelihood or chance that an event will occur.

    Probability = Expected outcome of event / Total outcome

    If a bag contains 3 red marbles, 7 blue marbles and 5 green marbles, the total number of marbles in the bag will be the total outcome i. e 3+7+5 = 15

    If two blue marbles are drawn, the expected outcome in both cases is 7 since there are 7 blue marbles in the bag.

    Probability of drawing the first blue marble = 7/15

    Probability of drawing the second blue marble = 7/15

    Probability that both marbles drawn will be blue = 7/15*7/15

    = 49/225

    = 0.218 (to nearest 1000th)
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