document.write( "Question 1148438: The probability that a final year student will pass the certified public accountant (CPA) examination is 0.60. The probability that a final year student will pass the CPA examination and get a job offer is 0.40. Suppose the student just found out that they passed the CPA examination, what is the probability of them getting a job offer? \n" ); document.write( "

Algebra.Com's Answer #769797 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "We are given   P(pass CPA) = 0.6.\r\n" );
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document.write( "We are also given   P(pass CPA AND get a job offer) = 0.4.\r\n" );
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document.write( "They ask you about the conditional probability  P(get a job offer | pass CPA).\r\n" );
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document.write( "Use the general definition of the conditional probability\r\n" );
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document.write( "    P( A | B ) ] = P(A and B)/P(B).\r\n" );
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document.write( "In your case, the event A = \"get a job offer\",\r\n" );
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document.write( "              the event B = \"pass GPA\";\r\n" );
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document.write( "              the event (A and B) = (pass GPA AND get a job offer)\r\n" );
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document.write( "Therefore, the conditional probability  \r\n" );
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document.write( "       P(get a job offer | pass CPA) = P(A and B)/P(B) =  = .    ANSWER\r\n" );
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