Intro to Natural Log (Base e)

$$\text{Game of Phones}$$

===

The landline telephone network was designed for $99.999\%$ reliability. To get an idea of how strong that is, suppose you have a game of "telephone" consisting of a chain of $100,000$ people. The first person receives a message from outside, and repeats it to the second person, who then repeats the message to the third person, and so on, until the $100,000^{\text{th}}$ person receives the message.