statistics problem

Oct 4th, 2017
Anonymous
Category:
Mathematics
Price: $10 USD

Question description

Who Will Win the Race?

Three runners, call them A, B, and C, are so well matched that in any race they have a 50-50 chance of beating either of the the other two runners.

Runner A wants to beat both B and C. Is it better for him to propose a 3-person race or to challenge each one to an individual race? Or does it not matter? Assume ties do not occur and fatigue is not a factor.

Hint: Use probabilities to come up with an answer.

Submit your answer on plain or lined paper with your name. To get full credit, you must show all your work in a logical approach that provides the correct answer. Typing is not required. Neat and legible work is a must!

It is a probability problem. To get full credit, I need to see the work that mathematically or logically leads me to an answer.

Who Will Win the Race? Three runners, call them A, B, and C, are so well matched that in any race they have a 50-50 chance of beating either of the the other two runners. Runner A wants to beat both B and C. Is it better for him to propose a 3-person race or to challenge each one to an individual race? Or does it not matter? Assume ties do not occur and fatigue is not a factor. Hint: Use probabilities to come up with an answer. Submit your answer on plain or lined paper with your name. To get full credit, you must show all your work in a logical approach that provides the correct answer. Typing is not required. Neat and legible work is a must!

Tutor Answer

(Top Tutor) DanielMax
School: UT Austin

Attached.

Solution
Since runners A, B and C each have a 50-50 chance of winning in a race, this implies that either
has a

1
3

probability of winning any race they jointly take part in as illustrated below.

Therefore, in this 3 person race, the probab...

Studypool has helped 1,244,100 students

Review from student
Anonymous
" Wow this is really good.... didn't expect it. Sweet!!!! "
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1829 tutors are online

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors