audrey1256
29.01.2021 •
Mathematics
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, s/he will pick the first city that is better than all previous cities. The cities are interviewed in a uniformly random order.
Required:
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.
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Ответ:
The events are independent because what you get on the first flip of the coin has no bearing or effect on what you will get on the second flip. In other words, each time you flip a coin you have a 50% chance of getting heads and a 50% chance of getting tails.
Step-by-step explanation: