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[Solved]: Why is a deterministic Turing machine a special case of a probabilistic Turing machine?

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Problem Detail: 

I have no formal training in computer science as I have not yet taken any such classes, so perhaps this question appears naive. I was reading about BPP and it was claimed that a deterministic Turing machine is a special case of a probabilistic Turing machine. I don't understand why this is.

Asked By : David

Answered By : Jake

Deterministic turing machines have one transition at any given time. Nondeterministic machines are allowed to have multiple transitions out of a given state but can have just a single. Probabilistic turing machines pick one of the possible transitions and perform it based on a probability distribution. So if you make a deterministic turing machine then it is also a probabilistic turing machine where there is only ever one transition to choose from at any given time.

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Question Source : http://cs.stackexchange.com/questions/47918

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