document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=235235>Question 235235</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many different ways can a couple have 3 daughters and 2 sons in five distinct pregnancies (no multiple births). list all gender string (GGGBB etc) and compute the probability this happens. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173375 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=173375\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here are all of the possible combinations of 5 children:\r<BR>\n" );
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document.write( "G,G,G,G,G<BR>\n" );
document.write( "G,G,G,G,B<BR>\n" );
document.write( "G,G,G,B,G<BR>\n" );
document.write( "G,G,G,B,B<BR>\n" );
document.write( "G,G,B,G,G<BR>\n" );
document.write( "G,G,B,G,B<BR>\n" );
document.write( "G,G,B,B,G<BR>\n" );
document.write( "G,G,B,B,B<BR>\n" );
document.write( "G,B,G,G,G<BR>\n" );
document.write( "G,B,G,G,B<BR>\n" );
document.write( "G,B,G,B,G<BR>\n" );
document.write( "G,B,G,B,B<BR>\n" );
document.write( "G,B,B,G,G<BR>\n" );
document.write( "G,B,B,G,B<BR>\n" );
document.write( "G,B,B,B,G<BR>\n" );
document.write( "G,B,B,B,B<BR>\n" );
document.write( "B,G,G,G,G<BR>\n" );
document.write( "B,G,G,G,B<BR>\n" );
document.write( "B,G,G,B,G<BR>\n" );
document.write( "B,G,G,B,B<BR>\n" );
document.write( "B,G,B,G,G<BR>\n" );
document.write( "B,G,B,G,B<BR>\n" );
document.write( "B,G,B,B,G<BR>\n" );
document.write( "B,G,B,B,B<BR>\n" );
document.write( "B,B,G,G,G<BR>\n" );
document.write( "B,B,G,G,B<BR>\n" );
document.write( "B,B,G,B,G<BR>\n" );
document.write( "B,B,G,B,B<BR>\n" );
document.write( "B,B,B,G,G<BR>\n" );
document.write( "B,B,B,G,B<BR>\n" );
document.write( "B,B,B,B,G<BR>\n" );
document.write( "B,B,B,B,B \r<BR>\n" );
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document.write( "There are a total of 32 possible combinations.\r<BR>\n" );
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document.write( "From this list, we have the following combinations for 3 girls and 2 boys:\r<BR>\n" );
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document.write( "G,G,G,B,B<BR>\n" );
document.write( "G,G,B,G,B<BR>\n" );
document.write( "G,B,G,G,B<BR>\n" );
document.write( "B,G,G,G,B<BR>\n" );
document.write( "B,G,G,B,G<BR>\n" );
document.write( "B,G,B,G,G<BR>\n" );
document.write( "B,B,G,G,G<BR>\n" );
document.write( "G,B,B,G,G<BR>\n" );
document.write( "G,B,G,B,G<BR>\n" );
document.write( "G,G,B,B,G\r<BR>\n" );
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document.write( "In this list, there are 10 different possible combinations.\r<BR>\n" );
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document.write( "So the probability of having 3 girls and 2 boys is: \r<BR>\n" );
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document.write( "P(3 girls & 2 boys) = 10/32 = 5/16 = 0.3125\r<BR>\n" );
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document.write( "which is a 31.25% chance </SPAN>\n" );
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