document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182988>Question 1182988</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Alison and Brenda play a tennis match in which the first player to win two sets wins the match. <BR>\n" );
document.write( "In tennis no set can be drawn. The probability that Alison wins the first set is <BR>\n" );
document.write( "3<BR>\n" );
document.write( "1<BR>\n" );
document.write( ". For sets after <BR>\n" );
document.write( "the first, the probability that Alison wins the set is 3<BR>\n" );
document.write( "5<BR>\n" );
document.write( " if she won the preceding set, but is only <BR>\n" );
document.write( "4<BR>\n" );
document.write( "1<BR>\n" );
document.write( "if she lost the preceding set. With the aid of a suitable diagram or otherwise, determine the <BR>\n" );
document.write( "probability that <BR>\n" );
document.write( " a) Alison wins the match given that it lasts for just two sets, <BR>\n" );
document.write( "b) Alison wins the match, <BR>\n" );
document.write( " c) Alison wins the match given that it goes to three sets, <BR>\n" );
document.write( " d) if Alison wins the match, then she does so in two sets.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813120 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13208)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=813120\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "We can only guess what the probabilities are when you show them this way.<br><BR>\n" );
document.write( "Our first guess would be that the numbers are fractions -- 3/1, 3/5, 4/1....  But those are not valid numbers for probabilities.<br><BR>\n" );
document.write( "Re-post your question, making the given information clear.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );