Consider Figure 1.19(b). Suppose that each link between the server and the client has a packet loss probability p, and the packet loss probabilities for these links are independent. What is the probability that a packet (sent by the server) is successfully received by the receiver? If a packet is lost in the path from the server to the client, then the server will re-transmit the packet. On average, how many times will the server re-transmit the packet in order for the client to successfully receive the packet?
Consider the given data:
Loss probability of packet between the server and the client =p
Probability that the packet is successfully received through the receiver p1.
The probability that the packet transmitted by the server is received by the client successfully is 1/p1
The probability of successful transmissions -1 if the packet re-transmitted by the server is received.
So, the probability that the packet re-transmitted by the server is received by the client is 1/p1-1.