document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033668>Question 1033668</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Several major automobile producers are competing to have the largest market share for sport utility vehicles (SUVs) in the coming quarter.  A professional automobile market analyst assess that the odds of General Motors NOT being the market leader are 6 to 1.  The odds against Toyota and Ford having the largest market share in the coming quarter are similarly assesed to be 12 to 5 and 8 to 3 respectively.  \r<BR>\n" );
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document.write( "a)  Find the probability that General Motors will have the largest market share for SUVs in the coming quarter.\r<BR>\n" );
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document.write( "b) Find the the probability that Toyota will have the largest market share for SUVs in the coming quarter. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #648338 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=648338\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the odds against general motors are 6 to 1.<BR>\n" );
document.write( "the probability it will not be general motors is therefore 6 / 7.<BR>\n" );
document.write( "this means the probability it will be general motors is 1 / 7.\r<BR>\n" );
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document.write( "the odds against toyota are 12 to 5.<BR>\n" );
document.write( "the probability it will not be toyota is therefore 12 / 17.<BR>\n" );
document.write( "this means the probability it will be toyota is 5 / 17.\r<BR>\n" );
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document.write( "the odds against ford are 8 to 3.<BR>\n" );
document.write( "the probability it will not be ford is therefore 8 / 11.<BR>\n" );
document.write( "this means the probability it will be ford is 3 / 11.\r<BR>\n" );
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document.write( "a) Find the probability that General Motors will have the largest market share for SUVs in the coming quarter.\r<BR>\n" );
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document.write( "answer is 1/7.\r<BR>\n" );
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document.write( "b) Find the the probability that Toyota will have the largest market share for SUVs in the coming quarter. \r<BR>\n" );
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document.write( "answer is 5/17.\r<BR>\n" );
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document.write( "about the simplest explanation of odds and probabilities can be found here:<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"http://www.had2know.com/academics/calculate-odds-probability.html\" target = \"_blank\">http://www.had2know.com/academics/calculate-odds-probability.html</a>\r<BR>\n" );
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document.write( "let s = number of successes.<BR>\n" );
document.write( "let f = number of failures.\r<BR>\n" );
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document.write( "probability of success = s / (s+f)\r<BR>\n" );
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document.write( "probability of failure = f / (s+f)\r<BR>\n" );
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document.write( "odds in favor of success = s / f\r<BR>\n" );
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document.write( "odds against success = f / s\r<BR>\n" );
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document.write( " </SPAN>\n" );
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