document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150805>Question 1150805</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this question: A family plans to have 3 children. Determine the probability that the family will have exactly 1 boy, given that the second child is a boy . </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #772271 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=772271\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "We have 3 children, with each one possibly being a boy or a girl. <BR>\n" );
document.write( "And so for each child, the probability of being a boy is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > as is the probability of being a girl <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( " the possible outcomes are \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BBB ALIGN=MIDDLE  ALT=\"BBB\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BBG ALIGN=MIDDLE  ALT=\"BBG\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BGB ALIGN=MIDDLE  ALT=\"BGB\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=GBB ALIGN=MIDDLE  ALT=\"GBB\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BGG ALIGN=MIDDLE  ALT=\"BGG\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=GBG ALIGN=MIDDLE  ALT=\"GBG\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=GGB ALIGN=MIDDLE  ALT=\"GGB\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=GGG ALIGN=MIDDLE  ALT=\"GGG\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "There are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+ ALIGN=MIDDLE  ALT=\"8+\"   DISABLED_style= \"max-width:90%; height:auto;\" >possible outcomes, all equally likely (if we assume each gender is equally likely). <BR>\n" );
document.write( "What is the probability that all three children in a family will be the same gender?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P ALIGN=MIDDLE  ALT=\"P\"   DISABLED_style= \"max-width:90%; height:auto;\" >(all female)= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29+%2A+%281%2F2%29+%2A+%281%2F2%29+=+1%2F8 ALIGN=MIDDLE  ALT=\"%281%2F2%29+%2A+%281%2F2%29+%2A+%281%2F2%29+=+1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P ALIGN=MIDDLE  ALT=\"P\"   DISABLED_style= \"max-width:90%; height:auto;\" >(all male ) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2+%29%2A%281%2F2+%29%2A%281%2F2%29+=+1%2F8 ALIGN=MIDDLE  ALT=\"%281%2F2+%29%2A%281%2F2+%29%2A%281%2F2%29+=+1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P ALIGN=MIDDLE  ALT=\"P\"   DISABLED_style= \"max-width:90%; height:auto;\" >(all one gender) =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P ALIGN=MIDDLE  ALT=\"+P\"   DISABLED_style= \"max-width:90%; height:auto;\" >(all female) + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P ALIGN=MIDDLE  ALT=\"P\"   DISABLED_style= \"max-width:90%; height:auto;\" >(all male) =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F8+%2B+1%2F8+=+1%2F4 ALIGN=MIDDLE  ALT=\"+1%2F8+%2B+1%2F8+=+1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the probability that the family will have exactly <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > boy, given that the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=second+ ALIGN=MIDDLE  ALT=\"second+\"   DISABLED_style= \"max-width:90%; height:auto;\" >child is a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=boy ALIGN=MIDDLE  ALT=\"boy\"   DISABLED_style= \"max-width:90%; height:auto;\" >, is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28GBG%29+=%281%2F8%29%2B%281%2F8%29%2B%281%2F8%29=3%2F8 ALIGN=MIDDLE  ALT=\"P%28GBG%29+=%281%2F8%29%2B%281%2F8%29%2B%281%2F8%29=3%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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