Posted by **sam** on Monday, February 17, 2014 at 8:34pm.

Suppose that each unit of a system is up with probability 2/3 and down with probability 1/3. 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).

What is the probability that the following system is up?

What is the probability that the following system is up?

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