document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=235847>Question 235847</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a college 30% students fail in Physics, 25% fail in Mathematics and 10% students fail in both. One student is chosen at random. What is the probability that<BR>\n" );
document.write( "a) He fails in Mathematics if he has failed in Physics<BR>\n" );
document.write( "b) He fails in Physics if he has failed in Mathematics.<BR>\n" );
document.write( "c) He fails in Physics or Mathematics.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173636 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=173636\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a college 30% students fail in Physics, 25% fail in Mathematics and 10% students fail in both. One student is chosen at random. What is the probability that<BR>\n" );
document.write( "a) He fails in Mathematics if he has failed in Physics<BR>\n" );
document.write( "P(m|p) = P(m and p)/P(p) = 0.10/0.30 = 1/3<BR>\n" );
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document.write( "b) He fails in Physics if he has failed in Mathematics.<BR>\n" );
document.write( "P(p|m) = P(p and m)/P(m) = 0.10/0.25 = 10/25 = 2/5<BR>\n" );
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document.write( "c) He fails in Physics or Mathematics.<BR>\n" );
document.write( "P(p or m) = P(p) + P(m) - P(p and m)<BR>\n" );
document.write( "= 0.30 + 0.25 - 0.10 = 0.45<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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