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Old 2007-08-01, 18:26   #3
ewmayer
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Sep 2002
Rep├║blica de California

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Your proof is sound, but form an aesthetic viewpoint, I've never really liked proofs by induction. There's just something too brutish-force about them for my taste. But ... we all have our quirks.

Also, even glossing over the ambiguous nature of proof-by-obviousness and assuming what you say is true, your lemma only shows that the probability is the *same*, not what the probability *is*. Perhaps a corollary or a separate claim/lemma/theorem is in order.

Last fiddled with by ewmayer on 2007-08-01 at 18:30
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