Urn Place

Posted June 13, 2010 By Patrick

urn place
An urn contains 5 green and 9 red balls. Four balls are randomly drawn from the urn in succession, with replac?

An urn contains 5 green and 9 red balls. Four 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 4 balls drawn from the urn are green? Round your answer to three decimal places.

To solve, first add all the balls together, so you have 14 total. The number of these that are green is 5, so the chances of removing one of the green ones is 5/14 for each time you take one out. Since you draw a ball four times, you multiply 5/14 four times:

5/14 x 5/14 x 5/14 x 5/14 = 625/38416

If you divide the 625/38416 out, and round to three decimal places, you'll get 0.016.

NOTE - Please post any similar questions you have in the Mathematics category if you want accurate answers. Botany is for questions related to plants.

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