document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=272098>Question 272098</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a family of three children there are 8 possibilities for the boy-girl combinations, such as BBG, GBG and so on.\r<BR>\n" );
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document.write( "a) The probability of all boys equals the probability of all girls. What would each of these be?\r<BR>\n" );
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document.write( "b) The probibility of 2 boys and 1 girl is equal to 3/8. Explain why it is 3/8 not 1/8.\r<BR>\n" );
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document.write( "c) For this family of three children, what other situation would have a probability equal to 3/8?\r<BR>\n" );
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document.write( "d) If the family had four children, how would the answer to part (a) change? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199097 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=199097\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a family of three children there are 8 possibilities for the boy-girl combinations, such as BBG, GBG and so on. <BR>\n" );
document.write( "a) The probability of all boys equals the probability of all girls. What would each of these be? (1/2)(1/2)(1/2) = 1/8<BR>\n" );
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document.write( "b) The probability of 2 boys and 1 girl is equal to 3/8. Explain why it is 3/8 not 1/8. <BR>\n" );
document.write( "The 1 girl may be the 1st with prob 1/8<BR>\n" );
document.write( "Or she may be the 2nd with prob 1/8<BR>\n" );
document.write( "Or she may be the 3rd with prob 1/8<BR>\n" );
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document.write( "These three results are mutually exclusive so we have<BR>\n" );
document.write( "to add the probability of each and get 3/8<BR>\n" );
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document.write( "c) For this family of three children, what other situation would have a probability equal to 3/8?<BR>\n" );
document.write( "P(2 girls) because it is the same as probability of one boy which equals (3/8)<BR>\n" );
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document.write( "d) If the family had four children, how would the answer to part (a) change?<BR>\n" );
document.write( "(1/2)(1/2)(1/2)(1/2) = 1/16<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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