document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=322846>Question 322846</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Students who graduate from law schools must till pass a bar exam before coming layers. Suppose that in a particular jurisdiction the pass rate for first time test takers is 72%. Candidates who fail the first exam may take it again several months later of those who failed their first test ,88% pass their first attempt. Find the probability that a randomly selected law school graduate becomes a lawyer. Assume that candidates cannot take the exam more than twice. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #231115 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=231115\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Students who graduate from law schools must still pass a bar exam before becoming layers. <BR>\n" );
document.write( "Suppose that in a particular jurisdiction the pass rate for first time test takers is 72%. Candidates who fail the first exam may take it again several months later. Of those who failed their first test ,88% pass their first attempt. Find the probability that a randomly selected law school graduate becomes a lawyer. Assume that candidates cannot take the exam more than twice.<BR>\n" );
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document.write( "Not a lawyer if he/she fails twice; otherwise, becomes a lawyer<BR>\n" );
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document.write( "P(becomes lawyer) = 1 - P(does not become a lawyer)<BR>\n" );
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document.write( "P(does not become lawyer) = P(f and f) = P(f|f)P(f) = 0.12*0.28 = 0.0336<BR>\n" );
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document.write( "Therefore: P(becomes lawyer) = 1 - 0.0336 = 0.9664<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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