the nba is looking to expand to another city. in order to decide which city will receive a new team, the commissioner interviews potential owners from each of the n potential cities (n is a positive integer), one at a time. unfortunately, the owners would like to know immediately after the interview whether their city will receive the team or not. the commissioner decides to use the following strategy: she will interview the first m owners and reject all of them (m ∈ {1, . . . , n}). after the mth owner is interviewed, she will pick the first city that is better than all previous cities. the cities are interviewed in a uniformly random order. what is the probability that the best city is selected? assume that the commissioner has an objective method of scoring each city and that each city receives a unique score.