# Probability

Consider the communication network shown in the figure below and suppose that each link can fail with probability p. Assume that failures of different links are independent.

Assume that p=1/3. Find the probability that there exists a path from A to B along which no link has failed. (Give a numerical answer.)

Given that exactly one link in the network has failed, find the probability that there exists a path from A to B along which no link has failed. (Give a numerical answer.)

1. 👍 0
2. 👎 0
3. 👁 1,626
1. 1. 0.46091

2. 0.8

1. 👍 1
2. 👎 0
2. 0.4

1. 👍 0
2. 👎 0

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