document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=616248>Question 616248</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a math class, 12 out of 15 girls are fourteen years old and 11 out of 15 boys are fourteen years old. What is the probability of selecting a group of five students - 2 fourteen year old girls and 3 fourteen year old boys? (Explaining the process would be helpful too!) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #387608 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=387608\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a math class, 12 out of 15 girls are fourteen years old and 11 out of 15 boys are fourteen years old. What is the probability of selecting a group of five students - 2 fourteen year old girls and 3 fourteen year old boys? (Explaining the process would be helpful too!)<BR>\n" );
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document.write( "# of ways to pick a pair of 14-yr old girls: 12C2 = 66<BR>\n" );
document.write( "# of ways to pick a triple of 14 years old boys: 11C3 = 165<BR>\n" );
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document.write( "# of ways to meet the given condition for the group of 5)= 65*165<BR>\n" );
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document.write( "# of random number of groups of 5 students: (12+15)C5 = 27C5 = 80730<BR>\n" );
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document.write( "P(meet conditions) = (65*165)/80730 = 0.1329..<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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