18. From an urn that contains a large number of red and blue chips, mixed in equal...

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18. From an urn that contains a large number of red and blue chips, mixed in equal proportions, 10 chips are removed one by one and at random. The chips that are removed before the first red chip are returned to the urn. The first red chip, together with all those that follow, is placed in another urn that is initially empty. Calculate the expected number of the chips in the second urn.

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