Question: Your friend likes to go to the bars on Friday night. He likes to go to a lot of different bars, and really has no favorite. One Friday night you decide later in the evening to join your friend, but you don’t know which bar he went to that particular evening. You decide to start calling the bars to see where he is. Suppose there is a .05 probability that he is at any particular bar.

a. What is the probability that you have to call at least 5 bars before you reach your friend?

b. What is the probability that you only have to make 1 call?

c. If this happens frequently, what is the expected number of calls you can expect to make?