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Suppose that each unit of a system is up with probability2/3 and down with probability1/3. Different units are independent. For each one of the systems

Suppose that each unit of a system is up with probability2/3 and down with probability1/3. Different units are independent. For each one of the systems shown below, calculate the probability that the whole system is up (that is, that there exists a path from the left end to the right end, consisting entirely of units that are up).

1: What is the probability that the following system is up?

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