Re: T-day probability puzzler
Let 10 say 1 if there are an odd number of white hats he sees, 0 if even.
Now each successor can correctly name his hat by seeing if he sees the same evenness as 10, counting the correctly named hats 9 through n+1.
So you should get 9 + 1/2 on average.
Craig
PS for the 3 hat problem a similar trick should work modulo 3.
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