document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=258832>Question 258832</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a one-hour flight is .02.  What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail?  Show all steps carefully.\r<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 #190595 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=190595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Fombitz did some good calculating but read the data incorrectly.<BR>\n" );
document.write( "It is .02 not .2<BR>\n" );
document.write( "P(both fail)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.2%29%280.2%29=0.04 ALIGN=MIDDLE  ALT=\"%280.2%29%280.2%29=0.04\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(neither fail)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.8%29%280.8%29=0.64 ALIGN=MIDDLE  ALT=\"%280.8%29%280.8%29=0.64\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(one fails)=P(first fails,second doesn't)+P(first doesn't, second fails)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.2%29%280.8%29%2B%280.8%29%280.2%29=0.32 ALIGN=MIDDLE  ALT=\"%280.2%29%280.8%29%2B%280.8%29%280.2%29=0.32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Ptotal=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.04%2B0.64%2B0.32=1 ALIGN=MIDDLE  ALT=\"0.04%2B0.64%2B0.32=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > (all possible events are covered\r<BR>\n" );
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document.write( "Adjusting the work then<BR>\n" );
document.write( "P(both fail)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.02%29%280.02%29=0.0004 ALIGN=MIDDLE  ALT=\"%280.02%29%280.02%29=0.0004\"   DISABLED_style= \"max-width:90%; height:auto;\" >   2/100*2/100=4/10000<BR>\n" );
document.write( "P(neither fail)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.98%29%280.98%29=0.9604 ALIGN=MIDDLE  ALT=\"%280.98%29%280.98%29=0.9604\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(one fails)=P(first fails,second doesn't)+P(first doesn't, second fails)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.02%29%280.98%29%2B%280.98%29%280.02%29=0.0392 ALIGN=MIDDLE  ALT=\"%280.02%29%280.98%29%2B%280.98%29%280.02%29=0.0392\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If the first doesn't fail how are you going to know if the second one did failed?<BR>\n" );
document.write( "Ptotal=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.0004%2B0.9604%2B0.0392=1 ALIGN=MIDDLE  ALT=\"0.0004%2B0.9604%2B0.0392=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > (all possible events are covered </SPAN>\n" );
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