Question

An urn contains 5 white and 6 black 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 black? Round your answer to three decimal places.

Answer 1

since the draws are independent, and

P(black) = 6/11

P(4 blacks) = (6/11)^4