Chance News (July-August 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)?