# Difference between revisions of "A probability problem"

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− | A student asked | + | A Dartmouth student asked his math teacher Dana Williams if he could solve the following problem: |

+ | <blockquote> | ||

+ | QUESTION: We start with n ropes and gather their 2n ends together. <br> | ||

+ | Then we randomly pair the ends and make n joins. Let E(n) <br> | ||

+ | be the expected number of loops. What is E(n)? | ||

+ | </blockquote> | ||

− | + | You might be interested in trying to solve this problem. You can check your answer [http://www.dartmouth.edu/chance/ForWiki/here. | |

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− | You might be interested in trying to solve this problem. You can check your answer here. |

## Revision as of 17:46, 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 [http://www.dartmouth.edu/chance/ForWiki/here.