document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=894137>Question 894137</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if you have 8 teams, what are the odds of two people joining a league being drafted on the same team<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 #541787 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=541787\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe the probability is going to be 1/8.<BR>\n" );
document.write( "here's why.<BR>\n" );
document.write( "assume only 3 teams.<BR>\n" );
document.write( "assume the teams are ABC<BR>\n" );
document.write( "you have 2 people, each of which can land on any of the teams.<BR>\n" );
document.write( "the possible pairings you can get will be 3*3 = 9<BR>\n" );
document.write( "person 1 gets the first letter<BR>\n" );
document.write( "person 2 gets the second letter.<BR>\n" );
document.write( "the letter designates the team.<BR>\n" );
document.write( "the possible pairings are:<BR>\n" );
document.write( "AA *****<BR>\n" );
document.write( "AB<BR>\n" );
document.write( "AC<BR>\n" );
document.write( "BA<BR>\n" );
document.write( "BB *****<BR>\n" );
document.write( "BC<BR>\n" );
document.write( "CA<BR>\n" );
document.write( "CB<BR>\n" );
document.write( "CC *****\r<BR>\n" );
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document.write( "out of the 9 possible pairings there are 3 pairings where person 1 and person 2 are on the same team.\r<BR>\n" );
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document.write( "remember.<BR>\n" );
document.write( "the first column represents the team that person 1 gets.<BR>\n" );
document.write( "the second column represents the team that person 2 gets.\r<BR>\n" );
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document.write( "3 out of 9 is the same as 1 out of 3.\r<BR>\n" );
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document.write( "use that logic with the 8 teams and you get the probability that they will be on the same team is 8/64 which is equal to 1/8.\r<BR>\n" );
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document.write( "a sample of a subset of what that will look like is shown below:<BR>\n" );
document.write( "the teams are ABCDEFGH<BR>\n" );
document.write( "the possible pairings are:<BR>\n" );
document.write( "AA *****<BR>\n" );
document.write( "AB<BR>\n" );
document.write( "AC<BR>\n" );
document.write( "AD<BR>\n" );
document.write( "AE<BR>\n" );
document.write( "AF<BR>\n" );
document.write( "AG<BR>\n" );
document.write( "AH<BR>\n" );
document.write( "BA<BR>\n" );
document.write( "BB *****<BR>\n" );
document.write( "BC<BR>\n" );
document.write( "BD<BR>\n" );
document.write( "BE<BR>\n" );
document.write( "BF<BR>\n" );
document.write( "BG<BR>\n" );
document.write( "BH<BR>\n" );
document.write( "etc 8 times in all.\r<BR>\n" );
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document.write( "in the first set of 8, 1 pairing had both persons on  the same team (team A).<BR>\n" );
document.write( "in the second set of 8, 1 pairing had both persons on the same team (team B).\r<BR>\n" );
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document.write( "this will occur 8 times out of 64 which results in 1 out of 8 which give you a probability of 1/8.\r<BR>\n" );
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