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?

Question

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?

anonymous · Answer

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!