document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=676511>Question 676511</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A and B play for a prize to win 1000 Birr. A is to throw a die first and to win if he throws 6. If A fails, B is to throw and to win if he throws 5 or 6. If B fails, A is to throw again to win if throws 4, 5 or 6, and so on. <BR>\n" );
document.write( "a.	Find the total probabilities of A’s success\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #420408 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=420408\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1st throw: 1/6 probability A wins<BR>\n" );
document.write( ".<BR>\n" );
document.write( "2nd: 1- 1/6 = 5/6<BR>\n" );
document.write( "5/6 * 2/6 = 5/18 prob B wins<BR>\n" );
document.write( ".<BR>\n" );
document.write( "3rd 1-(1/6 + 5/18)=5/9<BR>\n" );
document.write( "5/9 * 3/6 = 5/18 prob A wins<BR>\n" );
document.write( ".<BR>\n" );
document.write( "4th 1-(1/6 + 5/18 + 5/18)=5/18<BR>\n" );
document.write( "5/18 * 4/6 =5/27 prob B wins<BR>\n" );
document.write( ".<BR>\n" );
document.write( "5th 1-(1/6 + 5/18 + 5/18 + 5/27)=5/54<BR>\n" );
document.write( "5/54 * 5/6 = 25/324 Prob A wins<BR>\n" );
document.write( ".<BR>\n" );
document.write( "1-(1/6 + 5/18 + 5/18 + 5/27 + 25/324)=5/324 prob B wins.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "1/6 + 5/18 + 25/324 = 169/324 the total probabilities of A’s success.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );