SOLUTION: An urn contains 7 black and6 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
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Question 1102017: An urn contains 7 black and6 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 the probability that all 6 balls drawn from the urn are black? Round your answer to three decimal places. Answer by htmentor(1343) (Show Source):
You can put this solution on YOUR website! The total number of balls in the urn is 13, of which 7 are black
Since the balls are replaced after each draw, and each drawing is independent of all the others,
the probability of drawing a black is the same for each draw
P(black) = 7/13
Thus P(6 black) = (7/13)^6 = 0.024