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


Bob is an amoeba that behaves as follows: at the end of any given minute, Bob either splits into two identical and independent copies of himself, stays the same without splitting, or dies; all three of these happen with equal probability. All subsequent Bobs behave identically and independently to the original Bob. If there is only 1 Bob at the start, find the expected number of Bobs after 2 minutes

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