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Draw poker question for you math geeks, SoCalPat, 30. Jul 2003 16:44
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Since reading the article on draw poker starting hands in the newest issue of Card Player, I've mosied to Paradise's 1-2 game and had some moderate success.

It's really an easy game to play ... just exercise caution after the draws and don't bet shorts (among other things), and you should do all right. Most people who go over there are complete novices -- like the guy who bet into me after drawing four after I raised pre-draw and took only 1. I reraised (with my set of aces -- no way did this guy make a straight or flush drawing four) and he called, showing nothing.

Anyway, a hand came up that made me feel like Nicholas Cage and James Caan were at the table (that's "Honeymoon in Vegas" for the uninitiated), but someone holding quads was beaten by a straight flush.

How often can such a hand be expected to play out in a five-handed game? I have to imagine it's well into the hundreds of millions-to-1-shot category, if not longer.
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Re: Draw poker question for you math geeks, stdioh, 31. Jul 2003 13:46
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In draw? Very very very very rare. First of all, the quads interfere with all straight flushes that go through them, the the number of possible straight flushes diminishes. If the quads are 8888, for example, then the only straight flushes possible are the 5, 6, 7, K, and A high straight flushes. If the quads are AAAA then the only ones missing are the 5 and A high, of course. Nonetheless, quads' existence makes a straight flush statistically significantly rarer. I have no idea what the chances are in draw since there is the question of how many cards you get. Assuming that each player gets 10 cards to make the hands from, it wouldn't be that hard to do it, but because they have 5 and then some smaller number after throwing them, etc ... I still don't know. I think the chance would be in the neighbourhood of 1 in 10 million or rarer.
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