document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=981366>Question 981366</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a machine has 4 components;A,B,C and D for the mqachine to work,both A and D have tro work,and atleast one of B and C has to work.Probvability of A,B,c and D working are 0.8,0.8,0.6 and 0.6 respectively.Assuming that components wok or fail indepedently of each other ,What is the probability that the machine works? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #602425 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=602425\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Look at the possible working combinations <BR>\n" );
document.write( "1.A working, D working, B working, C not working<BR>\n" );
document.write( "2.A working, D working, C working, B not working<BR>\n" );
document.write( "3.A working, D working, B working, C working<BR>\n" );
document.write( "Those are the only possible combination for which the machine works.<BR>\n" );
document.write( "Find the probability of each case by multiplying probabilities together.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D=+0.8%280.6%29%280.8%29%280.4%29=0.1536 ALIGN=MIDDLE  ALT=\"P%5B1%5D=+0.8%280.6%29%280.8%29%280.4%29=0.1536\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B2%5D=+0.8%280.6%29%280.6%29%280.2%29=0.0576 ALIGN=MIDDLE  ALT=\"P%5B2%5D=+0.8%280.6%29%280.6%29%280.2%29=0.0576\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B3%5D=+0.8%280.6%29%280.8%29%280.6%29=0.2304 ALIGN=MIDDLE  ALT=\"P%5B3%5D=+0.8%280.6%29%280.8%29%280.6%29=0.2304\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=P%5B1%5D%2BP%5B2%5D%2BP%5B3%5D ALIGN=MIDDLE  ALT=\"P=P%5B1%5D%2BP%5B2%5D%2BP%5B3%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=0.1536%2B0.0576%2B0.2304 ALIGN=MIDDLE  ALT=\"P=0.1536%2B0.0576%2B0.2304\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=0.4416 ALIGN=MIDDLE  ALT=\"P=0.4416\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );