document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=946485>Question 946485</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This question is really throwing me off, I'm not even sure how to start it off..Can someone please help?\r<BR>\n" );
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document.write( "Assume that each birth to the same parents is an independent event with p(girl)=p(boy)= 1/2. For a family with 3 children, find the probability of exactly 2 boys, given that the first 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 #577420 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=577420\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Note that independent events are not affected by previous events.<BR>\n" );
document.write( "therefore,<BR>\n" );
document.write( "Probability of an event happening = Number of ways it can happen / Total number of outcomes<BR>\n" );
document.write( "lets look at the total number of outcomes with the first child a boy,<BR>\n" );
document.write( "(boy, girl, boy), (boy, boy, girl), (boy, boy, boy), (boy, girl, girl) <BR>\n" );
document.write( "now,<BR>\n" );
document.write( "the probability of exactly 2 boys, given that the first child is a boy = 2/4 = 1/2<BR>\n" );
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