# 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/ | + | You might be interested in trying to solve this problem. You can check your answer [http://www.dartmouth.edu/~chance/forwiki/ropes.pdf here]. |

## Revision as of 18:01, 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.