document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=394621>Question 394621</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5.Three computer viruses arrive as an email attachment. Virus A damages the system with probability 0.4. Independently of it, virus B damages the system with probability 0.5. Independently of A and B, virus C damages the system with probability 0.2. What is the probability that the system gets damaged? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #280049 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=280049\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if the viruses are truly independent then <BR>\n" );
document.write( "probability that the system gets damaged=<BR>\n" );
document.write( "P(AUBUC)=P(A)+P(B)+P(C)-P(AnB)-P(anc)-P(bnc)+P(AnBnC)=<BR>\n" );
document.write( "0.4+0.5+0.2-0.4*0.5-0.4*0.2-0.5*0.2+0.4*0.5*0.2=1.1-0.2-0.08-0.1+0.04<BR>\n" );
document.write( "=0.76 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );