Compare to the unconditional probability

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1. McDonald's and Wendy's are each going to open one new restaurant in Texas next year. McDonald's is choosing among three cities: A (ustin), D (allas), H (ouston), and S (an Antonio). Wendy's is only choosing among three cities (A,D,H) , because it already has too many locations in San Antonio. Here is the joint probability table associated with their decisions: (a) What is the probability that McDonald's locates in Dallas and Wendy's locates in Houston? (b) What is the probability that McDonald's locates in Dallas? (c) What is the probability that Wendy's locates in Houston? (d) What is the probability that McDonald's and Wendy's locate in the same city? (e) What is the probability that McDonald's and Wendy's locate in different cities? (f) If we know that McDonald's opens up a restaurant in Dallas, what is the proba-bility that Wendy's also opens up a restaurant in Dallas? (g) How does the answer in (f) compare to the unconditional probability of Wendy's opening a restaurant in Dallas? (h) If we know that Wendy's opens up a restaurant in Dallas, what is the probability that McDonald's also opens up a restaurant in Dallas? (i) Consider the two events, (i) Wendy's opening

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