document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=329835>Question 329835</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have no idea where to start with this.... Thanks for your help!\r<BR>\n" );
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document.write( "11 out of 40 students are selected for a team each year.  15/40 participated once in the last two years.  What is the probability of selecting 3 but no more than 5 students from the 15 that previously participated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #236963 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=236963\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you want to select n=11 students out of N=40<BR>\n" );
document.write( "15 have participated once in the last 2 years, 25 have not\r<BR>\n" );
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document.write( "X=# in the 11 which participated previously\r<BR>\n" );
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document.write( "You need P(X=3,4 or 5) = P(X=3)+P(X=4)+P(X=5)\r<BR>\n" );
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document.write( "There are 40C11 ways to select the 11 students out of 40 =2,311,801,440<BR>\n" );
document.write( "There are 15C3*25C8 ways to select 3 students from the 15 who prev participated and 25C8 ways to select 8 students from the 25 that did not = 544*1,081,575 = 492,116,625\r<BR>\n" );
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document.write( "P(X=3,4,5) = (15C3*25C8 + 15C4*25C7 + 15C5*25C6)/40C11 =1,680,103,425/2,311,801,440=0.727\r<BR>\n" );
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