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Re: Maths Question Omaha Hilo Starting Hands
Bigpooch - I follow your reasoning (and agree) until you get to B.
For A3XX suited or double-suited to the ace, could be all in same suit, but X is not deuce, which seems to be what you calculated, I get a total of only 8634 hands as follows: AAA3s---12---4*3 AA3s3t---6---6*1 AA3n3s---24---6*2*2 AA3sXs---120---6*2*10 AA3sXt---120---6*2*10 AA3sXn---240---6*2*20 AA3nXs---240---6*2*20 A3n3n3s---12---4*3 A3n3sXs---120---4*3*10 A3n3sXn---360---4*3*30 A3n3nXs---120---4*3*10 A3sXsXs---180---4*1*10*9/2 A3sXsXn---1200---4*1*10*30 A3sXnXn---1740---4*1*30*29/2 A3nXsXs---540---4*3*10*9/2 A3nXsXn---3600---4*3*10*30 total---8634 Of the above hands, I'd probably not play the 12 A333 hands, but I'd probably play the rest of them, at least some of the time. I'm never sure my math is correct, and there are lots of places I could have made a mistake in the above table - so I’m hardly one to suggest your math is off, but perhaps you have some duplications in your figure of 9684. Well, okay, I can check my math. Here goes. A3subf---8634 AAA3n---4---4*1 AA3n3n---6---6*1 A3n3n3n---4---4*1 AA3nXn---240---6*2*20 A3n3nXn---360---4*3*30 A3nXnXn---5220---4*3*30*29/2 AAAA---1 AAAX---160---4*40 AAXX---4680---6*40*39/2 AXXX---39520---4*40*39*38/6 XXXX---91390---C(40,4) 40*39*38*37/24 3333---1 333X---160 33XX---4680 3XXX---39520 total---194580 should be C(48,4) = 194580. Checks. (no deuces) Buzz |
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