Consider three cities A, B, and C connected with fiber optical cables to provide internet service. An internet configuration error takes place, and as a result packets transmitted from A to B are routed through C with probability 3/4. If a packet is routed through C, it has a probability of 1/3 of being dropped. If a packet is not routed through C, it has a probability of 1/4 of begin dropped. 1. What is the probability that a packet is dropped between A and B? 2. What is the probability that a packet is routed through C given that it is not dropped? 3. Assume that a packet is transmitted from A to C and from C to B, and from B to your laptop. If packets drop through each of the three paths occurs independently with probability 1/3. Find the probability that a packet gets to your laptop from A successfully