Give several decimal places If you choose decimals. All of the following are acc

Question

Give several decimal places If you choose decimals. All of the following are acceptable formats for answers: 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 0.3 probability that bias escape will be successful. If he chooses the road to Boston, there is a 0.5 probability that his escape will be successful. Finally, if he chooses the road to Columbus there is a 0.6 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?

Explanation / Answer

This is a question to be solved using conditional probability.

P( success) =1/3 *(.3+.5+.6) = .4667

Given that prisoner has success , the probability that he takes road to Atlanta

= 1/3( .3)/.4667

= 0.2143

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