31. An urn initially contains ???? black and ???? white balls. At each stage we add ????...

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31. An urn initially contains ???? black and ???? white balls. At each stage we add ????

black balls and then withdraw, at random, ???? from the ???? + ???? + ????. Show that

????[number of white balls after stage ????] =

(???? + ????)/(???? + ???? + ????) ????

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