If a study subject is randomly selected and it is found that the subject entered a guilty plea, what is the probability that person was sent to prison?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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A study is done on prison sentences and courtroom please. It is found that 32% of the subjects were sent to prison and the rest were not. Among those sent to prison, 31% pled guilty and among those not sent to prison, 14% chose to plead guilty. If a study subject is randomly selected and it is found that the subject entered a guilty plea, what is the probability that person was sent to prison?

Express your answer as a decimal, rounded to the nearest thousandth (three decimal places).

Answer = 

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