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- From: jka@ece.cmu.edu (Jay Adams)
- Subject: hold'em trivia
- Message-ID: <Bzs6Mt.AFp@fs7.ece.cmu.edu>
- Originator: jka@mustang.ece.cmu.edu
- Sender: news@fs7.ece.cmu.edu (USENET News System)
- Organization: CMU ECE Dept.
- References: <1hacr5INNolm@fido.asd.sgi.com>
- Date: Thu, 24 Dec 1992 20:37:37 GMT
- Lines: 22
-
-
- > If you want to make a straight in hold'em, what are the best two cards
- > to start with? I was analyzing starting hands and this question came
- > up because the numbers I was getting ran counter to my intuition. In
- > fact, I was pretty sure I had found a bug.
- >
- > I thought that the best hand would be something like 87, giving you
- > plenty of room in both directions to fill the straight. But 65 and T9
- > are marginally better, and surprisingly, 54 and JT are better still.
- > This last result is what astonished me. I had to work the combinatorics
- > by hand before I believed it.
-
- Yep. The intuitive answer is that 87, 9T, and TJ (the same goes for
- 67, and 56) each have the same probability of completing a straight
- involving the two hole cards. The only difference is the chance of
- getting a straight that doesn't involve the hole cards--that's where
- TJ (and 56) are better than the others. And, of course, with JQ you
- reduce your chances of getting a straight that uses your hole cards.
-
- Interesting...
-
- - Jay
-