Subject: Re: Coincidences in card dealing
Date: Mon, 12 Jan 1998 19:54:30 -0500
From: Alex Bogomolny
Dear Roger & family:
If you are into this kind of problems, I may heartily recommend a small book by F.Mosteller "Fifty Challenging Problems in Probability With Solutions." Especially relevant to your question are problems #45 and #46.
Math expectation of the number of
coincidences is 1
Finds the probability of exactly r
coincidences
Probability that there was no coincidences at
all is approximately 1/e, or 0.368... Which
means that the answer to your question is
about 63%.