In: Statistics and Probability
A seven-year-old girl has wandered off away from her parents in Disney World. Her parents have filed a case with Disney, and the search for their daughter has commenced. The girl is in the Magic Kingdom with probability 1/2, she is in Animal Kingdom with probability 1/3, and she is in Epcot Center with probability 1/6. If she is in the Magic Kingdom, the chance of finding the girl is 1/5. If she is in Animal Kingdom, the chance of finding the girl is 2/5. Finally if she is in Epcot Center, the chance of finding the girl is 2/3.
a. Given the girl was not found in Epcot Center, what is the probability the girl is actually in Epcot Center?
b. Given the girl was not found in the Magic Kingdom, what is the proba- bility the girl is actually in Animal Kingdom?