document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=274423>Question 274423</A>: <I><SPAN STYLE=\"word-break: break-all;\"> . A couple plans to have two children. Assume that on any given birth, having a boy and having a girl are equally likely.<BR>\n" );
document.write( "(a) What is the probability that exactly one of the children is a boy?<BR>\n" );
document.write( "(b) What is the probability that at least one of the children is a boy? <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #200289 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=200289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A couple plans to have two children. Assume that on any given birth, having a boy and having a girl are equally likely.<BR>\n" );
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document.write( "Binomial with n=2 ; p = 1/2 ; q = 1/2<BR>\n" );
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document.write( "(a) What is the probability that exactly one of the children is a boy?<BR>\n" );
document.write( "P(one boy) = P(boy first then girl) + P(girl first then boy)<BR>\n" );
document.write( "= (1/2)(1/2) + (1/2)(1/2) <BR>\n" );
document.write( "= 1/4 + 1/4<BR>\n" );
document.write( "= 1/2<BR>\n" );
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document.write( "(b) What is the probability that at least one of the children is a boy?<BR>\n" );
document.write( "P(one boy) + P(2 boys) = 1/2 + (1/2)(1/2) = 3/4<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "stan H. </SPAN>\n" );
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