Question: There are two roads from A to B and two roads from B to C. Each of the two roads is blocked by snow with

There are two roads from A to B and two roads

There are two roads from A to B and two roads from B to C. Each of the two roads is blocked by snow with probability p, independently of the others. 1. Find the probability that there is an open road from A to B given that there is an open road from A to C. 2. If, in addition, there is a direct road from A to C, this road being blocked with probability p indepen- dently of the others, find the required conditional probability

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