document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=918557>Question 918557</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three students are selected, one after anoth<BR>\n" );
document.write( "er, from a class of 10 boys and 5 girls.<BR>\n" );
document.write( "a) Find the probability that the first two are boys and the third is a girl<BR>\n" );
document.write( "b)<BR>\n" );
document.write( "Find the probability that<BR>\n" );
document.write( "all three are of the same sex<BR>\n" );
document.write( "c)<BR>\n" );
document.write( "Find the probability that<BR>\n" );
document.write( "only the first and third are of the same sex </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #557104 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=557104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Three students are selected, one after anoth<BR>\n" );
document.write( " er, from a class of 10 boys and 5 girls.<BR>\n" );
document.write( " a) Find the probability that the first two are boys and the third is a girl<BR>\n" );
document.write( "Ans: (10/15)(9/14)(5/13)<BR>\n" );
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document.write( " b)<BR>\n" );
document.write( " Find the probability that<BR>\n" );
document.write( " all three are of the same sex<BR>\n" );
document.write( "Ans: [10C3 + 5C3]/15C3<BR>\n" );
document.write( " c)<BR>\n" );
document.write( " Find the probability that<BR>\n" );
document.write( " only the first and third are of the same sex<BR>\n" );
document.write( "Patterns:: bgb or gbg<BR>\n" );
document.write( "(10/15)(5/14)(9/13) + (5/15)(10/14)(4/13)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===============<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );