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To: ahhaha who wrote (547)	12/8/2000 2:37:46 PM
From: Bilow	Read Replies (2) of 24758

Hi ahhaha; Re the odds on the derivation of HAL... (a) You blew the conversion from odds to probabilities by looking for factors of 263, rather than 264 in this post: "I do admit I understand your computation, but there is no mathematical way to get his. There is a product space inherent in this problem that has no residue subspace, but 263 is prime, and can't form anything but degenerate spaces and itself." #reply-14970579 (b) You also neglected to take into consideration the possibility that the 263 to 1 odds were only an approximation of the actual calculated odds. For example, if the actual probability was calculated as 0.00379, it would be natural to refer to this as 263 to 1 against. (c) You further neglected to mention the likelihood that Clark used a restricted set of possible names, rather than the set of all possible letter combinations. A natural set would be the ones showing up in the dictionary. Surely there are a lot of different counts for 3-letter words, (likely depending on how many the counter has need of). I would bet that this is the solution. -- Carl P.S. List of 3-letter words supposedly legal for scrabble: yak.net

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