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8 February, 18:39

Two urns contain white balls and yellow balls. The first urn contains 9 white balls and 9 yellow balls and the second urn contains 8 white balls and 3 yellow balls. A ball is drawn at random from each urn. What is the probability that both balls are white?

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  1. 8 February, 20:58
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    The 1st urn:

    9 white + 9 yellow.

    The 2nd urn:

    8 white + 3 yellow.

    The events are independent.

    P (w 1 + w 2) = 9/18 * 8 / 11 = 8 / 22 = 4 / 11 = 0.3636

    Answer:

    Probability that both balls are white is 0.3636 or 36.36%
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