document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196221>Question 1196221</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (CO 2) Consider the table below.\r<BR>\n" );
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document.write( " 	Profit	Loss	Total<BR>\n" );
document.write( "Urban location	50	38	88<BR>\n" );
document.write( "Rural location	61	94	155<BR>\n" );
document.write( "Total	111	132	243\r<BR>\n" );
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document.write( "Find the probability that a randomly selected location is in an urban location, given that it is operating a loss.\r<BR>\n" );
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document.write( "Group of answer choices\r<BR>\n" );
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document.write( "55.0%\r<BR>\n" );
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document.write( "48.8%\r<BR>\n" );
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document.write( "36.2%\r<BR>\n" );
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document.write( "28.8% </SPAN>\n" );
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document.write( "Conditional probability: find the probability that a particular location is an urban one, GIVEN THAT it is operating at a loss.<br><BR>\n" );
document.write( "Informally, the \"given that\" means the denominator of the probability fraction is only the number of locations that are operating at a loss: 132<br><BR>\n" );
document.write( "The numerator of the probability fraction is the number of locations that are operating at a loss and are also rural: 38<br><BR>\n" );
document.write( "The probability is then 38/132, which is approximately 28.8%.<br><BR>\n" );
document.write( "ANSWER: 28.8%<br><BR>\n" );
document.write( "Formally, the conditional probability is<br><PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "   P(operating at a loss AND urban)     (38/243)\r\n" );
document.write( "  ---------------------------------- = ---------- = 38/132\r\n" );
document.write( "        P(operating at a loss)          (132/243)</PRE>\r<BR>\n" );
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