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2. Sisyphus rolls a boulder up a 20 meter-high hill. Each minute, with probabil- ity 1/3 he manages to roll the boulder 1 meter up,

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2. Sisyphus rolls a boulder up a 20 meter-high hill. Each minute, with probabil- ity 1/3 he manages to roll the boulder 1 meter up, while with probability 2/3 the boulder rolls 1 meter down. If Sisyphus is currently half-way towards the summit, what is the probability that he will reach the summit before descending to the foothills

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