Question: Among 123 people interviewed as part of an urban mass transportation study, some live more than 4 miles from city center (A), some regularly drive to work (B), and some would like to switch to public mass transportation if it was available (C). Use the information provided by the below Venn diagram (the numbers are the counts of people that fall into each given region) to find

1. \(P(B)\)
2. \(P(B \cap C)\)
3. \(P(A \cup C)\)
4. \(P(A \cap(B \cap \bar{C}))\)
5. \(P(\bar{A} \cup \bar{B} \cup C)\)
6. \(P(\overline{B \cap C} \cap(A \cup C))\)

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