document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1017571>Question 1017571</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The probability that a student will graduate with honors and get a good job is 0.09 whereas the probability that a student will graduate with honors is 0.1. What is the probability that a student will get a good job if she graduates with honors?  ans: 90% how ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #633830 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=633830\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a be the event that she graduates with honors.<BR>\n" );
document.write( "let b be the event that she gets a good job.<BR>\n" );
document.write( "let (a and b) be the event that she graduates with honors and gets a good job.\r<BR>\n" );
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document.write( "p(a) = .1<BR>\n" );
document.write( "p(a and b) = .09.\r<BR>\n" );
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document.write( "the formula you need to use is:\r<BR>\n" );
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document.write( "p(b given a) = p(a and b) / p(b)\r<BR>\n" );
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document.write( "this means that the probability that she gets a good job given that she has graduated with honors is equal to the probability that (she has graduated with honors and gets a good job) divided by the probability that (she graduated with honors).\r<BR>\n" );
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document.write( "p(b given a) = p(a and b) / p(b) becomes:\r<BR>\n" );
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document.write( "p(b given a) = .09 / .1 = .9 = 90%.\r<BR>\n" );
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document.write( "logically, this would look like this.\r<BR>\n" );
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document.write( "9% of the population graduates with honors and gets a good job.\r<BR>\n" );
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document.write( "10% of the population graduates with honors.\r<BR>\n" );
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document.write( "given that a person graduated with honors, then then the probability that the person gets a good job is 9% / 10% which is equal to .09/.10 which is equal to 9/10 which is equal to .9 which is equal to 9%.\r<BR>\n" );
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document.write( "if 100 persons graduated, then:\r<BR>\n" );
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document.write( "9 of them graduated with honors and got a good job.<BR>\n" );
document.write( "10 of them graduated with honors.<BR>\n" );
document.write( "given that a person graduated with honors, the probability that the person also got a good job is 9/10.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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