document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=453763>Question 453763</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \"Suppose a system can continue to operate successfully if one or both of its components do not fail. Suppose the probability of component #1 failing is .065 and the probability of component #2 failing is .045. Assuming the component failure is independent of any other component failing, determine the probability the system operates successfully.\"\r<BR>\n" );
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document.write( "I didn't get very far before getting stuck, but it looks like the system can operate with one or both components operating successfully.  There are 4 possible outcomes of component operation:\r<BR>\n" );
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document.write( "1:	Component #1 and Component #2  both work<BR>\n" );
document.write( "2:	Component #1 works, Component #2 does not work<BR>\n" );
document.write( "3:	Component #1 does not work, Component #2 works<BR>\n" );
document.write( "4:	Neither Component #1 or Component #2 work.\r<BR>\n" );
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document.write( "The first three circumstances are the only possible situations where the system will operate successfully.  But I don't know what to do next...<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #311711 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=311711\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .065*.045=.0029 Probability both fail.<BR>\n" );
document.write( "1-.0029=0.9971  the probability the system operates successfully.<BR>\n" );
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document.write( "Ed </SPAN>\n" );
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