document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119886>Question 1119886</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this of simple way. Thank You.\r<BR>\n" );
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document.write( "Three contractors (call them A, B, and C) bid on a project to build an addition to the UVA Rotunda. Suppose that you believe that Contractor A is 4 times more likely to win than Contractor B, who in turn is 7 times more likely to win than Contractor C. What are each of their probabilities of winning?\r<BR>\n" );
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document.write( "P(A Wins) = <BR>\n" );
document.write( "P(B Wins) = <BR>\n" );
document.write( "P(C Wins) = </SPAN>\n" );
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document.write( "Contractor C is the least likely to win.  So let x be the probability that C wins.<br><BR>\n" );
document.write( "Then \"contractor B is 7 times MORE likely to win than contractor C\" means the probability that contractor B wins is x + 7(x) = 8x.<br><BR>\n" );
document.write( "Then \"contractor A is 4 times MORE likely to win than contractor B\" means the probability that contractor A wins is 8x + 4(8x) = 40x.<br><BR>\n" );
document.write( "The sum of the probabilities must be equal to 1:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+8x+%2B+40x+=+1 ALIGN=MIDDLE  ALT=\"x+%2B+8x+%2B+40x+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49x+=+1 ALIGN=MIDDLE  ALT=\"49x+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1%2F49 ALIGN=MIDDLE  ALT=\"x+=+1%2F49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The probability that C wins is x = 1/49.<BR>\n" );
document.write( "The probability that B wins is 8x = 8/49.<BR>\n" );
document.write( "The probability that A wins is 40x = 40/49. </SPAN>\n" );
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