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

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

− | number of loops. What is E(n)? < | + | expected number of loops. What is E(n)? </blockquote> |

## Revision as of 19:16, 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 sent us. If you happen to know a reference to this problem please mention this in the discussion page for this chance news.

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)?