document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=257717>Question 257717</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Conditional Probability. (Tree diagram ?)<BR>\n" );
document.write( "I really don't understand where i have to start, What is a tree diagram and how do i solve this question by tree diagram ?  HELP PLEASE !!!<BR>\n" );
document.write( "In a World Series, teams A and B play until one team wins four games. Suppose all games are independent and that on each game, the probability that team A beats team B is 3/5.<BR>\n" );
document.write( "(a) What is the probability that team A wins the series?<BR>\n" );
document.write( "(b) What is the probability that team A wins the series in five games?(c) You know that team A wins the series. What is the expected number of games they play? <BR>\n" );
document.write( "(d) What is the probability the team that wins the first game will win the series? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #189733 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=189733\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Probability that team a wins =.6; b wins = .4<BR>\n" );
document.write( "I did a tree diagram.I couldn't calculate it any other way. It was a 7 tiered tree.<BR>\n" );
document.write( "a)  .1296+.2074+.2074+.1695=.7103 Team A wins.<BR>\n" );
document.write( "b) .2074 A wins in 5 games<BR>\n" );
document.write( "c) A is equally likely to win in 5 games or six .2074 each.<BR>\n" );
document.write( "d) thats a smaller tree diagram that I'll leave up to you.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );