document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=313620>Question 313620</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bag contains 5 lemon gumdrops and 7 cherry gumdrops. Four gumdrops are selected at random.What is the probability that two of each flavor will be selected? Round your answer 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 #224237 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=224237\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A bag contains 5 lemon gumdrops and 7 cherry gumdrops. Four gumdrops are selected at random.What is the probability that two of each flavor will be selected? Round your answer to the nearest thousandth.<BR>\n" );
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document.write( "# of ways to pick 2 lemon: 5C2 = 10<BR>\n" );
document.write( "# of ways to pick 2 cherry:7C2 = 21<BR>\n" );
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document.write( "# of ways to pick 4 randomly: 12C4 = (12*11*10*8)/(1*2*3*4) = 495<BR>\n" );
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document.write( "P(2 lemon and 2 cherry) = [10*21]/495 = 0.4242<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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