A probability problem: Difference between revisions
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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. | |||
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.