document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1045311>Question 1045311</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a duel between X and Y both duelists have 2 bullets. The first one to shoot is X, with a chance to hit of 30%, afterwards if X missed Y shoots with a chance to hit of 60%, afterwards if Y missed X shoots with a chance to hit of 40% and finally if X missed Y shoots with a chance to hit of 50%. What is the probability that Y will hit X? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #660760 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52908)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=660760\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "In a duel between X and Y both duelists have 2 bullets. The first one to shoot is X, with a chance to hit of 30%, <BR>\n" );
document.write( "afterwards if X missed Y shoots with a chance to hit of 60%, <BR>\n" );
document.write( "afterwards if Y missed X shoots with a chance to hit of 40% and <BR>\n" );
document.write( "finally if X missed Y shoots with a chance to hit of 50%.<BR>\n" );
document.write( " What is the probability that Y will hit X?<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I think it is\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(1-0.3)*0.6 + (1-0.3)*0.4*(1-0.4)*0.5 = 0.504.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );