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st: probability question


From   Richard Goldstein <richgold@ix.netcom.com>
To   statalist <statalist@hsphsun2.harvard.edu>
Subject   st: probability question
Date   Wed, 28 Oct 2009 08:37:36 -0400

it's been a long time since I thought about questions like this, but, as
a lead-in to a study, a client has asked the following question which he
thinks he understands and says is related to where he wants to go:

during a consecutive period of 120 days, if it rains on 7 days and my
client wears a hat on 4 days (these are independent of any knowledge of
the weather), what is the probability that it will rain on 3 of the days
on which he is wearing a hat?

my client swears that this is not a homework problem for him or his wife
or one of their kids!

Rich
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