document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=862124>Question 862124</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A and B play 12 games of chess of which 6 are won by A, 4 are won by B, 2 ends in a draw. They agree to play a tournament consisting of 3 games. Find the probability that (a) A wins all 3 games (b) two games end in a draw, (c) A and B win alternatively, (d) B wins atleast one games. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #519535 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=519535\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Look at all the possible outcomes there are 3^3 or 27 of them. <BR>\n" );
document.write( "AAA AAB AAD ABA ABB ABD ADA ADB ADD<BR>\n" );
document.write( "BAA BAB BAD BBA BBB BBD BDA BDB BDD<BR>\n" );
document.write( "DAA DAB DAD DBA DBB DBD DDA DDB DDD<BR>\n" );
document.write( "A) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28AAA%29=1%2F27 ALIGN=MIDDLE  ALT=\"P%28AAA%29=1%2F27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "B) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%282D%29=5%2F27+ ALIGN=MIDDLE  ALT=\"P%282D%29=5%2F27+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "C) I assume that mean BAB ABD etc.,There are six of those (BAB,DAB,BAD,ABA,DBA,ABD) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=6%2F27=2%2F9 ALIGN=MIDDLE  ALT=\"P=6%2F27=2%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "D) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281B%29=19%2F27 ALIGN=MIDDLE  ALT=\"P%281B%29=19%2F27\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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