document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205088>Question 1205088</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 assesses 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 assessed 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 probability that Toyota will have the largest market share for SUVs in the coming quarter.\r<BR>\n" );
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document.write( "c) Find the probability that Ford will have the largest market share for SUVs in the coming quarter.\r<BR>\n" );
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document.write( "d) Find the probability that some other automobile manufacturer will have the largest market share for SUVs in the coming quarter.<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 #841722 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13215)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=841722\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "From the definition of odds, if the odds against an outcome are A:B, then the probability of the outcome is B/(A+B)<br><BR>\n" );
document.write( "a) General Motors<BR>\n" );
document.write( "odds against = 6:1<BR>\n" );
document.write( "probability = 1/(6+1) = 1/7<br><BR>\n" );
document.write( "b) Toyota<BR>\n" );
document.write( "odds against = 12:5<BR>\n" );
document.write( "probability = 5/(12+5) = 5/17<br><BR>\n" );
document.write( "c) Ford<BR>\n" );
document.write( "odds against = 8:3<BR>\n" );
document.write( "probability = 3/(8+3) = 3/11<br><BR>\n" );
document.write( "d) other<BR>\n" );
document.write( "probability = 1 - (1/7 + 5/17 + 3/11)<br><BR>\n" );
document.write( "You can do the arithmetic on that one....<br><BR>\n" );
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