Question 425:A real estate agent has 2 tours. The first tour through N1and has 10 homes for sale, whereas the second tour through N2and has 5 homes for sale. The real estate agent has already a good sense of the preferences P of her client. Approximately 20% of all homes in area N1satisfy her client’s criteria whereas in area N2approximately 80% of all homes will be suitable for her client.
[a] What is the probability to find in both neighborhoods a suitable house that satisfies the client's preferences?
[b] Give the posteriori probabilities of finding a suitable house for the client in either one of two neighborhoods.