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MATH 118-A prisoner escapes from jail and randomly

01 / 10 / 2021 Projects

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MATH 118-A prisoner escapes from jail and randomly

A prisoner escapes from jail and randomly selects one of three roads leading away from the jail. Each of the roads leads to one of the three cities Atlanta, Boston, and Columbus. If he chooses the road to Atlanta, there is a 0.5 probability that his escape will be successful. If he chooses the road to Boston, there is a 0.8 probability that his escape will be successful. Finally, if he chooses the road to Columbus there is a 0.3 probability that his escape will be successful. If the prisoner is successful in his escape, what is the probability he selected the road to Atlanta?



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