anonymous
  • anonymous
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?
Mathematics
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anonymous
  • anonymous
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?
Mathematics
schrodinger
  • schrodinger
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
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!

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