If necessary consult a list of formulas An urn contains gree

(If necessary, consult a list of formulas.)

An urn contains green and pink 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 theprobability that all balls drawn from the urn are pink? Round your answer to three decimal places. (If necessary, consult a list of formulas.)

Solution

Note that the probability of a pink ball is

9 pink / (17 total balls) = 0.52941

Note that the balls are replaced, so the probability of each trial is the same.

Thus, the probability of getting 6 pink balls in succession is

P(6 pink) = 0.52941*0.52941*0.52941*0.52941*0.52941*0.52941

= 0.022 [ANSWER]