document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=350926>Question 350926</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello!<BR>\n" );
document.write( "the communication network has built-in a safeguard system against failures. In this system if Line 1 fails, it is bypassed and Line 2 is used. If line 2 also fails, it is bypassed and Line 3 is used. The proabability of the failure of any one of these 3 lines is 0.01, and the failures of these lines are independent events. What is the proability that this system of 3 lines does not completely fail?\r<BR>\n" );
document.write( "\n" );
document.write( "Thank You </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #250890 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=250890\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the probability that it does completely fail then subtract from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "P(3 failures)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.01%29%280.01%29%280.01%29=0.000001 ALIGN=MIDDLE  ALT=\"%280.01%29%280.01%29%280.01%29=0.000001\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(complete failure)+P(not complete failure)=1<BR>\n" );
document.write( "P(not complete failure)=1-P(complete failure)<BR>\n" );
document.write( "P(not complete failure)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-0.000001 ALIGN=MIDDLE  ALT=\"1-0.000001\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(not complete failure)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.999999 ALIGN=MIDDLE  ALT=\"0.999999\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );