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#1
06-03-2007, 02:27 AM
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When to break a wheel in CP2-7?
It is very tempting, when playing CP2-7, to put a wheel in the middle whenever you can do so. But this is not correct, because sometimes we need to strengthen the back or front hands instead.
Does anybody want to try to generate a rule of thumb for when to break the wheel? Here are 100 hands I found which contain the ranks 23457 but do not have a wheel in the middle of their best setting. (Some may have 23457-flush, I didn't check closely.) 5h5sJcJhJs 2d3c4c7d9s KcKhAd 5h5s8d8h8s 2h3s4c6d7d 7hQhAc 3c5c9cQcKc 2c3d4h6d7d ThJdKd 2d3d9dQdKd 2s4c5s7s8h 9cQsAh 5h5s8c8d8h 2h3c4h7h9s QdKsAc 2c4c5cTcQc 2d3c6d7dJd 8c8h8s 3h3s8d8h9h 2d4c5d6d7c JdAcAh 5c5s8h8sJh 2c3c4s6h7c QsAdAh 6d6s7c7d7h 2d3d4c5s8d 3s9hQh 2h4h8h9hJh 3c5d6d7sTd KdAdAs 5h6h7c8d9s 2h3s4c7s8h JdKhAs 3h4c4d8s9s 2h3s5c6d7c ThQdKs 3d3h4d4sTh 2s5h6d7d9s JhAdAs 3c4c5c8cQc 2s3s6d7s8h 6h9hAh 2s5s9sTsJs 2c3s4d6c7h 9d9hKd 2c2d2h7d7h 3d4h5d6s9h 5hQdAc 2d2h2s7c7d 3d4c5c6c8s 3h5sAh 7d8c9cTcJd 2c3d4h5h8d 6d6sAs 2d3d4c5dAc 2h4h5s7h8s JdJhKc 4d4s8d8h8s 2c3h5s6s7c TcKdAh 4c4s7d9sJd 2h3c5h6c7s QdKdAs 4c7d7hKdKh 2c3d4d5d8s TsJhAh 3d4cTdQcQh 2s3h4h5d8c 7d7s9s TdJsQhKcAc 2h3h4s7s8h 5c5sTs 2d3d7d8dKd 2h3c4s5s8c JhKcAc 5c5sQcQdQs 2d3d4c6c7c 2s7hKs 6d7d8s9cTs 2d3d4s5d9d KhKsAs 4d4h4s5d5h 2d3d6s7d8c 3hTcAc 3s4s5s8s9s 2c3c4h6h7s 8dTdTh 3c3h3s8d8s 2d4c5c6c7c 6sKcAs 2c3s4h5dAc 2d6h7d8cJh QsKhKs 8h9hTdJcQc 2d3c4d6d7d 5c5dJh 2h3c4c5hAh 2s4h7d8sJd 7sKcKs 5c7c7d7h7s 2s3c4h5h8s 9cThJh 3h6h7hJhAh 2d4c5d7c8s 7dTcKd 3c3dQcQdQh 2d4s5d7cTc JhAdAs 4c5c6c7c8c 2d3c5h6s7d 9dQsKs 6h9hJdJsQd 2s3h4h5d8s 7c7sKd 2c2h9c9d9s 3h4h5c7s8h QcAcAd 7c7d7h9h9s 2c3d4s5h8s TdThJc 4c5c7c9cTc 2h4h5s6h7h 3d3hKh 2h3h4d5dAh 2s6c7d8c9h JsQcQs 3c3h5c5dTc 2d4s6s7h9d QdKcKd 2c3cJcKcAc 2h4s5d6d7d 8hQhAd 4h5h6hJhKh 2c3h4d6d8c 7c7dQd 3d4d5d6d7d 4sThJdKcKd 2c2d2h 8cJsQdQsKc 2h4h5s6c7d 3c3h9h TcJsQsKcAc 2d3h4s7h8c 2h5d5h 7c7hTcTsQd 2h3s4c5d8s KcAcAh 3c3hQcQhQs 2d4c5d6c7d 7hTcAs 2d3h4d5hAc 2h4s6h7d9d 7hKcKh 4h5d5h8hTd 2c3c4s6h7c JdQsAc 3d3s7c7hJh 2s4c5s6h9h QcQdKc 2c4cTcJcQc 2s3d5s6h7d QhQsAd 5h6h7c8d9d 2h3c4s6s7s 2sJdKd 4h9hThJhAh 2d3s5d7c9c 7dKcKs 2d3c4c5hAc 2s3d9dTsQc 7c7d7s 2c2h7cJhJs 3s4s5d6c8s KsAdAs 5d5h5s7c7s 2d3d4d6hTd JsKcKs 2h4c4dTcTh 2s3h5h7d8d 9sKcKs 2h4c4s9h9s 2s3d5d6c7s 8hAdAh 5h5s8c8sJc 2h3h4c6h7h TdTsAs 2c2h2s6d6s 3c4c5h7c9c 4h5cKh 3c4c5h6d7d 2c3d4s7hTc KsAcAs 3d4d5d7dKd 2s3c5c6c8c 6h8sTs 3d3h9c9d9s 2h4c5s7c8h TdAcAd 2d3c4c5hAc 2h3s4d6d7h 8sQcKd 6h7h8h9dTc 2s3s4h5c9h JsQhQs 2c8c9cTcQc 3h4d5s6s9s 7hJdJh 3h4h7hThJh 2s5d6c9sTd QsAcAd 7c7d7sTdTs 2h3c4s5s8h 3sQcAs 2c5c5sJhJs 2d3c4s7h8d TdAhAs 3c3d3s5d5h 2s4h6d7h9s KdKsAc 3h3sAcAdAh 2s4s5s7cJd 9c9d9s 2h4h7h9hJh 3d4s5cTdQc 5dAhAs 5d7dTdQdAd 2h3s4d7h8c JdJhKs 2c4d4s9c9d 2h3h5s7c8h TdKcKd 3c7c7sQcQs 2c3d4d5c8d 9dJhAh 3d5dJdQdKd 2s4s5s6c7h 8hQsAc 3c5c8cTcKc 2d4s6s7d8h 7sJdJs 7d7hQcQhQs 2c3h4d5s8c TsJdAc 5d5h5s9c9d 2d3c4c6d7c 3s6hKs 4h5h7h9hJh 2s3s5d6c7c 8cTcTs 3c4c5c6c7c 2d4s5h6d8s ThJhAh 6c6d6s7c7s 2d3h4s5c8c JdQsAd 2c2s5d5hTh 3h4c6s7h8c JcAcAs 2d3d4h5sAd 3h7c8h9hTd JcKcKh 2c2h7c7h9d 3h4d5h6h8d QdAdAs 2c4c7c7h7s 2h4s5d6dTd 3c3d3h 3s6s7sJsKs 3h4c5s6h8h 2c2hTd 7d7h7s9d9h 2c3h4c5sJd QcQhKc 2d8h9c9hJc 2s3c4s6c7c 5d5hKd 2h2s6d6s9s 3h4c5c7c8h JsKcKd 3c3d3h3s5d 2d4s5s6d7d 6sQhAc 4d6d9dTdAd 2d3d4h5c8h 7c7sJc 2h3h5h7hTh 2c4c5s6c7c 8d8hQc 4c4d4s7d7h 2d3d5h8d9c 2sThKh 8h9dTsJhQs 3s4s5s7h8s 2c2h2s 4s5s9sJsQs 2h3d7c9hTh 3hAhAs 2c2d2h8c8d 3h4c5h6d9c 7hQcAs (In fact, it appears that it is usually incorrect to play the wheel! In my sample, 12.6% of hands had the ranks 23457, but only about 5% had wheels. Again, flushes may alter things a bit--- not all those possible wheels may really be present.) 
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#2
06-05-2007, 11:40 PM
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Re: When to break a wheel in CP2-7?
It seems that a lot of the times you have to break the wheel to strengthen the back hand enough to strengthen the front hand, if that makes any sense. In other words, when breaking the wheel can allow you to make two pair, straight, or J-high flush in the back, which in turn allows AA in front, and you still have 8 or 9 high in the middle, it's a break.
Is breaking a 75 for a 76 a no brainer?
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#3
06-06-2007, 06:09 PM
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Re: When to break a wheel in CP2-7?
Cases like 2345578TTTKKA also require that you split the wheel in order to make a full house in back w/ pair in front. I wondered what the dividing line was--- how bad of a low was it worth keeping?
55TTT 23478 KKA is a no-brainer 55TTT 23479 KKA is also worth it, but TTTKK 23457 5JA is better than 55TTT 2347J KKA, and JJJKK 23457 5TA is better than 55JJJ 2347T KKA. I thought this was one of the more interesting hands in my list: 2h4h7h9hJh 3d4s5cTdQc 5dAhAs Here the low is quite bad but there is really no other front/back alternative which is nearly anywhere as strong. I think switching 23457->23467 to use the five elsewhere is almost always correct, you are sacrificing only about 5% of middle strength.
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#5
06-08-2007, 02:12 PM
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Re: When to break a wheel in CP2-7?
Mark noted:
[ QUOTE ] I thought this was one of the more interesting hands in my list: 2h4h7h9hJh 3d4s5cTdQc 5dAhAs [/ QUOTE ] I agree. This is the hand that started my brain buzzing. Velocity commented: [ QUOTE ] thanks mark, keep up the analysis its really helpful! [/ QUOTE ] I agree. I only get to play CP2-7 a couple of times a year, but I find this work very interesting.
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Linear Mode
