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12 January, 11:40

An urn contains 8 red and 6 green balls. five balls are randomly drawn from the urn in succession, with replacement. that is, after each draw, the selected ball is returned to the urn. what is the probability that all 5 balls drawn from the urn are green? round your answer to three decimal places.

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  1. 12 January, 15:15
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    8 red, 6 green ... 14 total

    P (green) = 6/14 which reduces to 3/7

    replaced

    if the ball is being replaced each time, the sample size does not change

    therefore, the probability of all 5 balls being green is (3/7) ^5 = 3^5/7^5 =

    243/16807 = 0.014 <==
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