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5. [10 pts] There are n 3 friends sitting in a circle around a campfire, each with exactly one s'more. The friends then decide

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5. [10 pts] There are n 3 friends sitting in a circle around a campfire, each with exactly one s'more. The friends then decide to exchange their s'mores. Each individual faces the following decision, independent of the others: with probability 1/3, he passes his s'more to the person to his left, and with probability 2/3, he passes his s'more to the person to his right. What is the expected number of people that will end up with no s'more?

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