document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=637540>Question 637540</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A college professor prepares an exam of only eight questions. Prior to the exam, he gave to students twenty study questions, from which he selected eight to include on the exam. If a particular student knows the answer to only fourteen of the twenty questions, the probability that he will get all eight correct on the exam is approximately<BR>\n" );
document.write( "a. 0.0288<BR>\n" );
document.write( "b. 0.0552<BR>\n" );
document.write( "c. 0.0037<BR>\n" );
document.write( "d.0.0238\r<BR>\n" );
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document.write( "I'm really stuck on this one! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #401746 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=401746\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "The probability that the student will know the first question is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{14}{20}\">.  Now, since one question is no longer being considered, the probability of the student knowing the second question is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{13}{19}\">.  The probability of the third:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{12}{18}\">.  See the pattern?  Find the probabilities for all 8 questions, and then multiply all 8 probabilities.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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