Question

An urn contains 7 black and 9 green balls. Six 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 6 balls drawn from the urn are green? Round your answer to three decimal places.

Answer 1

Explanation:

There are 16 balls total. Since the balls are replaced after selection, the probability that the ball is green is 9/16 each time. The probability that a green ball is selected 6 times is:

P = (9/16)^6

P = 0.032