Question 1119886
<br>
Contractor C is the least likely to win.  So let x be the probability that C wins.<br>
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>
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>
The sum of the probabilities must be equal to 1:<br>
{{{x + 8x + 40x = 1}}}
{{{49x = 1}}}
{{{x = 1/49}}}<br>
The probability that C wins is x = 1/49.
The probability that B wins is 8x = 8/49.
The probability that A wins is 40x = 40/49.