document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=249154>Question 249154</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a math class, 12 out of 15 girls are freshmen and 11 out of 15 boys are freshmen. What is the probability that in a randomly selected group of five students from the class, there will be two freshmen girls and three freshmen boys? Express your answer as a decimal to the nearest thousandth. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181521 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=181521\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a math class, 12 out of 15 girls are freshmen and 11 out of 15 boys are freshmen. What is the probability that in a randomly selected group of five students from the class, there will be two freshmen girls and three freshmen boys? Express your answer as a decimal to the nearest thousandth. <BR>\n" );
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document.write( "# of ways to select 2 freshman girls: 12C2<BR>\n" );
document.write( "# of ways to select 3 freshman boys: 11C3<BR>\n" );
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document.write( "# of ways to pick 5 students without restriction: 30C5<BR>\n" );
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document.write( "P(2 frosh girls and 3 frosh boys) = [12C2*11C3]/30C5 = [66*55]/142506=0.0255<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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