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Jenny starts from point A of the diagram below and, at each node, she selects her route with equal probabilities among the possible options. (i)

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Jenny starts from point A of the diagram below and, at each node, she selects her route with equal probabilities among the possible options.

(i) What is the probability that she arrives at point B?

(ii) If it is known that she reached point B, what is the probability that she came through one of the three middle nodes?

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