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Assume there is a treasure which is equally likely to be guarded by one of three different robots. Let pi be the probability that robot

Assume there is a treasure which is equally likely to be guarded by one of three different

robots. Let pi be the probability that robot i will lie about guarding the treasure given that

he is actually guarding the treasure. Suppose you ask robot 1 and he says he is not guarding

the treasure. What is the probability he is actually guarding the treasure?

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