Some of the highest concentrations of people can be found at the mall, the park, or the gym. You have identified 4 malls, 6 parks, and 3 gyms in Dubai. The following table shows a list of location names. Names of Malls, Parks and Gyms in Dubai Malls Dubai Mall, MOE, MCC, Festival City Parks Zaabeel Park, Barsha Park, Al Safa Park, Mishrif Park, Al Garhoud Park, Creek Park Gyms Optimal Community, Seven, Snap Fitness Downtown You decide to evaluate your options of different survey methods. You want to use unions, intersections, and/or complements to choose three different approaches. Rewrite each of the options below using proper probability notation. a. The union of Malls and Gyms b. The intersection of Parks and Malls c. The complement of Gyms 1) Determine the sample space of each approach above. You now want to examine surveying people at one type of location given they've already visited another type. 2) Select three conditional situations. Represent each using proper notation and find the probability of each. 3) If you reverse the conditions for the same two events (i.e. A depends on B instead of B depending on A), does it change the overall probability? Why or why not