n urn contains one black and n-1 white balls. Balls are drawn at random until the black ball is selected. each ball is replaced before the next ball is drawn. find the probability that at least n draws are needed. what happens as n goes to infinity Solution there is 1/n chance to draw a black ball=(1 black/ (1 black + n-1 white)) = 1/n since n tends to infinity the probability leads to zero.

1. n urn contains one black and n-1 white balls. Balls are drawn at random until the black ball is
selected. each ball is replaced before the next ball is drawn. find the probability that at least n
draws are needed. what happens as n goes to infinity
Solution
there is 1/n chance to draw a black ball=(1 black/ (1 black + n-1 white)) = 1/n
since n tends to infinity the probability leads to zero