Difference between revisions of "Chance News (July-August 2005)"

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expected number of loops. What is E(n)? </blockquote>
 
expected number of loops. What is E(n)? </blockquote>
  
If you happen to know a reference to this problem please mention this in the discussion page for this chance news.
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If you happen to know a reference for this problem please mention this in the discussion page for this chance news.

Revision as of 19:20, 1 July 2005

Under construction. See Chance News (May-June 2005) for additional recent chance news.

Numbers are like people; torture them enough and they'll tell you anything.


Here is a nice probability question that one of our students asked us to solve.

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)?

If you happen to know a reference for this problem please mention this in the discussion page for this chance news.