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    #14. An urn has m black balls. At each stage a black ball is removed and a new ball, that is black with probability p and white with probability 1 - p, is put in its place. Find the expected number of stages needed until there are no more black balls in the urn.

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    When 1 ball is taken out, there will be m black balls left. And the put-in ball is black with probability p
    Then the expected number of black balls after ...

    Solution Summary

    This shows how to find the expected number of stages needed until there are no more black balls in the urn.

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