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29 August, 01:57

Suppose a jar contains 13 red marbles and 33 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red.

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  1. 29 August, 02:32
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    7.5%

    Step-by-step explanation:

    Although they tell us that they are held at the same time, there is no difference between taking out first and then another, because the marbles DO NOT have a replacement.

    So the final probability would be:

    Total marbles 13 + 33 = 46

    The probability of drawing a red would be: 13/46, on the first attempt.

    In the second half it would be: 12/45, because we have one less marble and I specify a red one.

    Therefore, the final probability is the multiplication of both events, like this:

    P = (13/46) * (12/45) = 0.075

    In other words, the probability of this happening is 7.5%.
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