document.write( "Question 1202392: In a study of pleas and prison sentences, it is found that 35% of the subjects studied were sent to prison. Among those sent to prison, 30% chose to plead guilty. Among those not sent to prison, 50% chose to plead guilty.\r
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Algebra.Com's Answer #837183 by ikleyn(52777) $\"\"$ $\"About$

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\n" ); document.write( "In a study of pleas and prison sentences, it is found that 35% of the subjects studied
\n" ); document.write( "were sent to prison. Among those sent to prison, 30% chose to plead guilty.
\n" ); document.write( "Among those not sent to prison, 50% chose to plead guilty.
\n" ); document.write( "If a study subject is randomly selected and it is then found that the subject entered a guilty plea,
\n" ); document.write( "find the probability that this person was not sent to prison.
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document.write( "This conditional probability is the ratio of two quantities\r\n" );
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document.write( "    P = .\r\n" );
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document.write( "The denominator is  P(was_not_sent_to_prison) = 1 - 0.35 = 0.65.\r\n" );
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document.write( "The numerator is    P(entered_a_guilty_plea_AND_was_not_sent_to_prison) = 0.5*(1-0.35) = 0.5*0.65.\r\n" );
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document.write( "The answer is  P =  =  = 0.5.\r\n" );
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