If necessary consult a list of formulas An urn contains blac

(If necessary, consult a list of formulas.)

An urn contains black and white balls. Five 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 balls drawn from the urn are white? Round your answer to three decimal places. (If necessary, consult a list of formulas.)

Solution

urn contains 9 black and 7 white balls

total number of balls =9+7 =16

probability of drawing a white ball from 16 = 7/16

given Five balls are randomly drawn from the urn in succession, with replacement

probability that all 5 balls drawn from the urn are white=(7/16)*(7/16)*(7/16)*(7/16)*(7/16)

probability that all 5 balls drawn from the urn are white=0.016