document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150394>Question 1150394</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose the probability of an IRS audit is 1.2 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more.\r<BR>\n" );
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document.write( "(a) What are the odds that such a taxpayer will be audited? (Round your answers to the nearest whole number.)\r<BR>\n" );
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document.write( "Odds that a taxpayer will be audited<BR>\n" );
document.write( ".88<BR>\n" );
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document.write( "(b) What are the odds against such a taxpayer being audited? (Round your answers to the nearest whole number.)\r<BR>\n" );
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document.write( "Odds against a taxpayer being audited<BR>\n" );
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document.write( "i cant get past the first answer i got can you please help me im racking my brain </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #771846 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=771846\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your answer to the first part is incorrect.\r<BR>\n" );
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document.write( "odds in favor = probability (for) / probability (against)\r<BR>\n" );
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document.write( "odds against = probability (against) / probability (for)\r<BR>\n" );
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document.write( "another way of saying this is:\r<BR>\n" );
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document.write( "odds in favor = (number of ways for) / (number of ways against)\r<BR>\n" );
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document.write( "odds against = (number of ways against) / (number of ways for).\r<BR>\n" );
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document.write( "based on your problem:\r<BR>\n" );
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document.write( "if the probability for is 1.2%, then the probability against is 98.8%.\r<BR>\n" );
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document.write( "note that the probability against is equal to 100% minus the probability for.\r<BR>\n" );
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document.write( "that's 100% minus 1.2% = 98.8%.\r<BR>\n" );
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document.write( "the odds for are therefore 1.2% / 98.8% = 1.2 to 98.8.\r<BR>\n" );
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document.write( "that can be shown as 1.2 / 98.8.\r<BR>\n" );
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document.write( "multiply both numerator and denominator by 3 / 1.2 and you get:\r<BR>\n" );
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document.write( "1.2 / 98.8 is equivalent to 3 / 247.\r<BR>\n" );
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document.write( "the odds in favor are 3 to 247 when you are looking for the numerator and the denominator to both be integers.\r<BR>\n" );
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document.write( "probability (for) is equal to odds (for) divided by (odds (for) + odds (against)).\r<BR>\n" );
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document.write( "probability (for) is therefore 3 / 250 = .012 * 100 = 1.2%.\r<BR>\n" );
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document.write( "that's what we started with, so the numbers are correct.\r<BR>\n" );
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document.write( "the odds against would be 98.8% / 1.2% = 98.8 to 1.2.\r<BR>\n" );
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document.write( "that can be shown as 98.8 / 1.2.\r<BR>\n" );
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document.write( "multiply both numerator and denominator by 3 / 1.2 and you get:\r<BR>\n" );
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document.write( "247 / 3.\r<BR>\n" );
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document.write( "the odds against are 247 to 3 when you are looking for the numerator and the denominator to both be integers.\r<BR>\n" );
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document.write( "probability (aginst) is equal to odds (against) divided by (odds (for) + odds (against)).\r<BR>\n" );
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document.write( "probability (against) is therefore 247 / 250 = .988 * 100 = 98.8%.\r<BR>\n" );
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document.write( "that's what we started with, so the numbers are correct.\r<BR>\n" );
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document.write( "the second way to explain odds in favor and odds against is:\r<BR>\n" );
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document.write( "odds in favor = (number of ways for) / (number of ways against)\r<BR>\n" );
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document.write( "odds against = (number of ways against) / (number of ways for).\r<BR>\n" );
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document.write( "assume you have 1000 possible occurrences.\r<BR>\n" );
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document.write( "assume 12 possible way to get the desired outcome and 988 possible ways to not get the desired outcome.\r<BR>\n" );
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document.write( "probability (for) is therefore 12 / 1000 = .012 = 1.2%.<BR>\n" );
document.write( "probability (against) is therefore 988 / 1000 = .988 = 98.8%\r<BR>\n" );
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document.write( "odds for is 12 / 988 * (1/4) / (1/4) = 3 / 247.\r<BR>\n" );
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document.write( "odds against is 988 / 12 * (1/4) / (1/4) = 247 / 3.\r<BR>\n" );
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document.write( "same odds and probabilities are calculated either way.\r<BR>\n" );
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document.write( "here's some references you might find instructive.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://www.mathplanet.com/education/pre-algebra/probability-and-statistic/finding-the-odds\" target = \"_blank\">https://www.mathplanet.com/education/pre-algebra/probability-and-statistic/finding-the-odds</a>\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://www.mathplanet.com/education/pre-algebra/probability-and-statistic/probability-of-events\" target = \"_blank\">https://www.mathplanet.com/education/pre-algebra/probability-and-statistic/probability-of-events</a>\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://stats.seandolinar.com/statistics-probability-vs-odds/\" target = \"_blank\">https://stats.seandolinar.com/statistics-probability-vs-odds/</a>\r<BR>\n" );
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