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Bob is an amoeba that behaves as follows: at the end of any given minute, Bob...

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Basic Math


Bob is an amoeba that behaves as follows: at the end of any givenminute, Bob either splits into two identical and independent copiesof himself, stays the same without splitting, or dies; all three ofthese happen with equal probability. All subsequent Bobs behaveidentically and independently to the original Bob. If there is only1 Bob at the start, find the expected number of Bobs after 2minutes

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