document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1046177>Question 1046177</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man owns a house in town and a cabin in the mountains. The probability of the house being burglarized is 0.18 and the probability of the cabin being burglarized is 0.27. What is the probability that (rounded off to three decimals):						<BR>\n" );
document.write( "a)	Both homes will be burglarized<BR>\n" );
document.write( "b)	Neither homes will be burglarized<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 #661666 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=661666\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume independence for between the two events.\r<BR>\n" );
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document.write( "a)  P(HC) = P(H)*P(C) = 0.18*0.27 = 0.0486.\r<BR>\n" );
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document.write( "b)  P(H'C') = P(H')*P(C') = (1-P(H))*(1 - P(C)) = 0.82*0.73 = 0.5986. </SPAN>\n" );
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