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Mathematics, 02.09.2020 18:01 manou76

A mosquito is walking at random on the nonnegative number line. She starts at $1$. When she is at $0$, she always takes a step $1$ unit to the right, but, from any positive position on the line, she randomly moves left or right $1$ unit with equal probability. What is the expected number of times the mosquito will visit $0$ before the first time she visits $4$?

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A mosquito is walking at random on the nonnegative number line. She starts at $1$. When she is at $0...
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