document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129233>Question 129233</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please Help, I'm so confused on how to even start.  Thanks!\r<BR>\n" );
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document.write( "Homework question: \r<BR>\n" );
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document.write( "2 teams: Boston Celtics and Denver Nuggets\r<BR>\n" );
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document.write( "Home team has 60% chance of winning; away team has 40% chance of winning.\r<BR>\n" );
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document.write( "What is the probability the Celtics will win the Championship at 4:2 out of 6 games:\r<BR>\n" );
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document.write( "1.) Draw the probability tree of the problem to explain answer? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94454 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=94454\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2 teams: Boston Celtics and Denver Nuggets <BR>\n" );
document.write( "Home team has 60% chance of winning; away team has 40% chance of winning. <BR>\n" );
document.write( "What is the probability the Celtics will win the Championship at 4:2 out of 6 games: <BR>\n" );
document.write( "1.) Draw the probability tree of the problem to explain answer?<BR>\n" );
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document.write( "1st Root: Celtics<BR>\n" );
document.write( "two branches: win with a probability of 3/5; lose with a prob. of 2/5<BR>\n" );
document.write( "Each of those branches has two branches: <BR>\n" );
document.write( "P(win|win)=(3/5)^2; <BR>\n" );
document.write( "P(lose|win)=(3/5)*(2/5)= 6/25<BR>\n" );
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document.write( "Then each of those brances has two branches<BR>\n" );
document.write( "Comment: This continues till you have 6 games.<BR>\n" );
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document.write( "You want the sum of the probabilities illustrating 4 Celtic wins and 2 <BR>\n" );
document.write( "Denver loses.<BR>\n" );
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document.write( "Each branch has probability (3/5)^4(2/5)^2; and there are 15 such branches.<BR>\n" );
document.write( "Since the events illustrated by all those branches are mutually exclusive<BR>\n" );
document.write( "(one cannot be the other) the sum of the probabilities is 15(3/5)^4(2/5)^2<BR>\n" );
document.write( "= 0.31104<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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