Difference between revisions of "A probability problem"

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You might  be interested in trying to solve this problem.  You can check your answer [http://www.dartmouth.edu/~chance/forwiki/ropes.pdf here].
 
You might  be interested in trying to solve this problem.  You can check your answer [http://www.dartmouth.edu/~chance/forwiki/ropes.pdf here].
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DISCUSSION QUESTION:
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Can you determine the distribution of the number  of loops?  If not estimate this by simulation.

Revision as of 18:05, 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.

DISCUSSION QUESTION:

Can you determine the distribution of the number of loops? If not estimate this by simulation.