A probability problem: Difference between revisions
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You might be interested in trying to solve this problem. You can check your answer [http://www.dartmouth.edu/chance/ | You might be interested in trying to solve this problem. You can check your answer [http://www.dartmouth.edu/~chance/forfwiki/ropes.pdf/ here]. |
Revision as of 17:58, 16 July 2005
A Dartmouth student asked his math teacher Dana Williams if he could solve the following problem:
QUESTION: We start with n ropes and gather their 2n ends together.
Then we randomly pair the ends and make n joins. Let E(n)
be the expected number of loops. What is E(n)?
You might be interested in trying to solve this problem. You can check your answer here.