Extra Credit: 10,000 meter race, 9 runners. Carol has 2/3 prob of winning than Dawn. Gail has 9 times than Dawn. Joyce has 4/3 than Gail. Kristin has 1/2 than Joyce. Linda has 8/9 than Gail. Mollie has 4/3 than Linda. Theresa has 7/8 than Molly. Nicki has 5/3 than Kristin.
The nine probabilities sum to 100%. What is the probability of each runner winning?
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Solve for the probability of each person in terms of Dawn, so you get
Dawn - Dawn
Carol - 2/3(Dawn)
Gail - 9(Dawn)
Joyce - 12(Dawn)
Kristen - 6(Dawn)
Linda - 8(Dawn)
Mollie - 32/3(Dawn)
Theresa - 28/3(Dawn)
Nicki - 10(Dawn)
add these up and equate it to 100 and solve for (Dawn), which will give an answer of 3/2, plug this in to what is listed above and you have the probabilities sought!