Help
http://tinyurl.com/25huc
[Improving Hand Evaluation Part 2]
http://tinyurl.com/383e6
[Improving Hand Evaluation Part 3]
http://tinyurl.com/2xhdf
How should you change your hand evaluation when the opponents enter the bidding? Common sense tells you that if your opponents show a suit, your hand goes up in value if you are short in that suit and down in value if you are long. But how many points should you adjust by? 1? Half a point? Similarly we’ve been told that AQ or Kx goes up in value if RHO bids this suit, but down in value if LHO bids it. Again, how much should you adjust? Maybe a point but probably less? This article quantifies some of these adjustments. Read on, I bet you aren't adjusting enough.
First let’s look at how many points you should adjust based on distribution. I’ve defined the pattern convention 2=5-4-2 to be a hand with 2 cards in a key suit (in these examples your opponent’s suit) and 5-4-2 in the remaining suits (any order). I’ll give adjustments in terms of tricks (for finer adjustments), but I’ve also given the equivalents in terms of normal MWC points and also in TSP (my evaluation method based on a 6-4-2-1 honor count described in Part 3). The adjustments are different if your RHO made the bid or if LHO did it. If your opponent just named a 5+ card suit (let’s say he opened 1♠) then you should make the following adjustments to your original hand valuation:
[space] [space] [space] [space] [space] [space] Tricks [space] [space] [space] MWC [space] [space] TSP Pattern [space] RHO [space] [space]LHO [space] RHO LHO RHO LHO 0=5-4-4 [space] 0.86 [space] 0.75 [space] 2 [space] 2 [space] 4 [space] 3 0=5-5-3 [space] 0.75 [space] 0.67 [space] 2 [space] 2 [space] 3 [space] 3 0=6-4-3 [space] 0.75 [space] 0.65 [space] 2 [space] 2 [space] 3 [space] 3 0=6-5-2 [space] 0.77 [space] 0.62 [space] 2 [space] 2 [space] 3 [space] 3 0=7-4-2 [space] 0.74 [space] 0.59 [space] 2 [space] 2 [space] 3 [space] 2 1=4-4-4 [space] 0.51 [space] 0.49 [space] 1 [space] 1 [space] 2 [space] 2 1=5-4-3 [space] 0.46 [space] 0.44 [space] 1 [space] 1 [space] 2 [space] 2 1=5-5-2 [space] 0.50 [space] 0.42 [space] 1 [space] 1 [space] 2 [space] 2 1=6-3-3 [space] 0.43 [space] 0.40 [space] 1 [space] 1 [space] 2 [space] 2 1=6-4-2 [space] 0.48 [space] 0.35 [space] 1 [space] 1 [space] 2 [space] 1 1=6-5-1 [space] 0.45 [space] 0.40 [space] 1 [space] 1 [space] 2 [space] 2 1=7-3-2 [space] 0.35 [space] 0.30 [space] 1 [space] 1 [space] 1 [space] 1 1=7-4-1 [space] 0.38 [space] 0.29 [space] 1 [space] 1 [space] 2 [space] 1 2=4-4-3 [space] 0.11 [space] 0.20 [space] 0 [space] 1 [space] 0 [space] 1 2=5-3-3 [space] 0.11 [space] 0.20 [space] 0 [space] 1 [space] 0 [space] 1 2=5-4-2 [space] 0.14 [space] 0.18 [space] 0 [space] 0 [space] 1 [space] 1 2=5-5-1 [space] 0.15 [space] 0.24 [space] 0 [space] 1 [space] 1 [space] 1 2=6-3-2 [space] 0.10 [space] 0.12 [space] 0 [space] 0 [space] 0 [space] 0 2=6-4-1 [space] 0.14 [space] 0.15 [space] 0 [space] 0 [space] 1 [space] 1 2=6-5-0 [space] 0.15 [space] 0.13 [space] 0 [space] 0 [space] 1 [space] 1 2=7-2-2 [space] 0.00 [space] 0.04 [space] 0 [space] 0 [space] 0 [space] 0 2=7-3-1 [space] 0.06 [space] 0.04 [space] 0 [space] 0 [space] 0 [space] 0 3=4-3-3 [space]-0.01 [space] 0.04 [space] 0 [space] 0 [space] 0 [space] 0 3=4-4-2 [space]-0.01 [space] 0.01 [space] 0 [space] 0 [space] 0 [space] 0 3=5-3-2 [space]-0.04 [space] 0.00 [space] 0 [space] 0 [space] 0 [space] 0 3=5-4-1 [space]-0.04 [space] 0.01 [space] 0 [space] 0 [space] 0 [space] 0 3=5-5-0 [space]-0.03 [space]-0.04 [space] 0 [space] 0 [space] 0 [space] 0 3=6-2-2 [space]-0.12 [space]-0.08 [space] 0 [space] 0 [space] 0 [space] 0 3=6-3-1 [space]-0.10 [space]-0.07 [space] 0 [space] 0 [space] 0 [space] 0 3=6-4-0 [space]-0.15 [space]-0.06 [space] 0 [space] 0 [space]-1 [space] 0 3=7-2-1 [space]-0.16 [space]-0.21 [space] 0 [space]-1 [space]-1 [space]-1 4=3-3-3 [space]-0.19 [space]-0.29 [space]-1 [space]-1 [space]-1 [space]-1 4=4-3-2 [space]-0.24 [space]-0.36 [space]-1 [space]-1 [space]-1 [space]-1 4=4-4-1 [space]-0.32 [space]-0.35 [space]-1 [space]-1 [space]-1 [space]-1 4=5-2-2 [space]-0.36 [space]-0.43 [space]-1 [space]-1 [space]-1 [space]-2 4=5-3-1 [space]-0.34 [space]-0.42 [space]-1 [space]-1 [space]-1 [space]-2 4=5-4-0 [space]-0.32 [space]-0.36 [space]-1 [space]-1 [space]-1 [space]-1 4=6-2-1 [space]-0.41 [space]-0.52 [space]-1 [space]-1 [space]-2 [space]-2 4=6-3-0 [space]-0.36 [space]-0.41 [space]-1 [space]-1 [space]-1 [space]-2 5=3-3-2 [space]-0.67 [space]-0.84 [space]-2 [space]-2 [space]-3 [space]-3 5=4-2-2 [space]-0.73 [space]-0.89 [space]-2 [space]-2 [space]-3 [space]-4 5=4-3-1 [space]-0.77 [space]-0.87 [space]-2 [space]-2 [space]-3 [space]-4 5=5-2-1 [space]-0.86 [space]-0.98 [space]-2 [space]-3 [space]-4 [space]-4
So for distribution it doesn’t make as much of a difference if the opponent was LHO or RHO. For MWC points, the adjustment is almost always +2 for void, +1 for singleton, -1 for 4 cards, and -2 for 5. In your recent games have you been subtracting 2 points when you have 5 cards in the opponent’s suit? Maybe you should.
Now let’s look at how your HCP should change if your opponent bids. This time it matters more if it was LHO or RHO. But something is going on with these numbers, they are all losing value:
[space] [space] [space] [space] [space] Tricks [space] [space] [space] MWC [space] [space] TSP [space] [space] [space] [space] RHO [space] [space]LHO [space] RHO LHO RHO LHO x [space] [space] [space] 0.00 [space] 0.00 [space] 0 [space] 0 [space] 0 [space] 0 T [space] [space] [space]-0.01 [space]-0.06 [space] 0 [space] 0 [space] 0 [space] 0 J [space] [space] [space]-0.07 [space]-0.05 [space] 0 [space] 0 [space] 0 [space] 0 Q [space] [space] [space]-0.09 [space]-0.08 [space] 0 [space] 0 [space] 0 [space] 0 K [space] [space] [space]-0.15 [space]-0.14 [space] 0 [space] 0 [space]-1 [space]-1 A [space] [space] [space]-0.05 [space]-0.07 [space] 0 [space] 0 [space] 0 [space] 0 xx [space] [space] [space]0.00 [space] 0.00 [space] 0 [space] 0 [space] 0 [space] 0 Tx [space] [space] -0.03 [space]-0.03 [space] 0 [space] 0 [space] 0 [space] 0 Jx [space] [space] -0.04 [space]-0.09 [space] 0 [space] 0 [space] 0 [space] 0 JT [space] [space] -0.12 [space]-0.15 [space] 0 [space] 0 [space] 0 [space]-1 Qx [space] [space] -0.09 [space]-0.16 [space] 0 [space] 0 [space] 0 [space]-1 QT [space] [space] -0.10 [space]-0.21 [space] 0 [space]-1 [space] 0 [space]-1 QJ [space] [space] -0.22 [space]-0.20 [space]-1 [space]-1 [space]-1 [space]-1 Kx [space] [space] -0.03 [space]-0.23 [space] 0 [space]-1 [space] 0 [space]-1 KT [space] [space] -0.13 [space]-0.30 [space] 0 [space]-1 [space]-1 [space]-1 KJ [space] [space] -0.09 [space]-0.25 [space] 0 [space]-1 [space] 0 [space]-1 KQ [space] [space] -0.24 [space]-0.29 [space]-1 [space]-1 [space]-1 [space]-1 Ax [space] [space] -0.03 [space]-0.14 [space] 0 [space] 0 [space] 0 [space]-1 AT [space] [space] -0.04 [space]-0.17 [space] 0 [space] 0 [space] 0 [space]-1 AJ [space] [space] -0.05 [space]-0.19 [space] 0 [space]-1 [space] 0 [space]-1 AQ [space] [space] [space]0.00 [space]-0.27 [space] 0 [space]-1 [space] 0 [space]-1 AK [space] [space] -0.16 [space]-0.20 [space] 0 [space]-1 [space]-1 [space]-1 xxx [space] [space] 0.00 [space] 0.00 [space] 0 [space] 0 [space] 0 [space] 0 Txx [space] [space]-0.04 [space]-0.09 [space] 0 [space] 0 [space] 0 [space] 0 Jxx [space] [space]-0.07 [space]-0.16 [space] 0 [space] 0 [space] 0 [space]-1 JTx [space] [space]-0.16 [space]-0.18 [space] 0 [space] 0 [space]-1 [space]-1 Qxx [space] [space]-0.12 [space]-0.26 [space] 0 [space]-1 [space] 0 [space]-1 QTx [space] [space]-0.21 [space]-0.32 [space]-1 [space]-1 [space]-1 [space]-1 QJx [space] [space]-0.25 [space]-0.33 [space]-1 [space]-1 [space]-1 [space]-1 QJT [space] [space]-0.30 [space]-0.38 [space]-1 [space]-1 [space]-1 [space]-2 Kxx [space] [space]-0.08 [space]-0.33 [space] 0 [space]-1 [space] 0 [space]-1 KTx [space] [space]-0.16 [space]-0.40 [space] 0 [space]-1 [space]-1 [space]-2 KJx [space] [space]-0.16 [space]-0.44 [space] 0 [space]-1 [space]-1 [space]-2 KJT [space] [space]-0.17 [space]-0.40 [space] 0 [space]-1 [space]-1 [space]-2 Axx [space] [space]-0.08 [space]-0.12 [space] 0 [space] 0 [space] 0 [space] 0 KQx [space] [space]-0.30 [space]-0.43 [space]-1 [space]-1 [space]-1 [space]-2 ATx [space] [space]-0.09 [space]-0.23 [space] 0 [space]-1 [space] 0 [space]-1 KQT [space] [space]-0.20 [space]-0.48 [space]-1 [space]-1 [space]-1 [space]-2 KQJ [space] [space]-0.43 [space]-0.38 [space]-1 [space]-1 [space]-2 [space]-2 AJx [space] [space]-0.09 [space]-0.34 [space] 0 [space]-1 [space] 0 [space]-1 AJT [space] [space]-0.17 [space]-0.38 [space] 0 [space]-1 [space]-1 [space]-2 AQx [space] [space]-0.08 [space]-0.37 [space] 0 [space]-1 [space] 0 [space]-2 AQT [space] [space] 0.02 [space]-0.49 [space] 0 [space]-1 [space] 0 [space]-2 AQJ [space] [space]-0.12 [space]-0.45 [space] 0 [space]-1 [space] 0 [space]-2 AKx [space] [space]-0.20 [space]-0.30 [space]-1 [space]-1 [space]-1 [space]-1 AKT [space] [space]-0.19 [space]-0.40 [space]-1 [space]-1 [space]-1 [space]-2 AKJ [space] [space]-0.17 [space]-0.40 [space] 0 [space]-1 [space]-1 [space]-2 AKQ [space] [space]-0.33 [space]-0.56 [space]-1 [space]-2 [space]-1 [space]-2 xxxx [space] [space]0.00 [space] 0.00 [space] 0 [space] 0 [space] 0 [space] 0 Txxx [space] -0.01 [space]-0.10 [space] 0 [space] 0 [space] 0 [space] 0 Jxxx [space] -0.12 [space]-0.11 [space] 0 [space] 0 [space] 0 [space] 0 JTxx [space] -0.17 [space]-0.10 [space] 0 [space] 0 [space]-1 [space] 0 Qxxx [space] -0.15 [space]-0.21 [space] 0 [space]-1 [space]-1 [space]-1 QTxx [space] -0.18 [space]-0.27 [space] 0 [space]-1 [space]-1 [space]-1 QJxx [space] -0.24 [space]-0.32 [space]-1 [space]-1 [space]-1 [space]-1 QJTx [space] -0.34 [space]-0.26 [space]-1 [space]-1 [space]-1 [space]-1 Kxxx [space] -0.17 [space]-0.36 [space] 0 [space]-1 [space]-1 [space]-1 KTxx [space] -0.21 [space]-0.44 [space]-1 [space]-1 [space]-1 [space]-2 KJxx [space] -0.25 [space]-0.54 [space]-1 [space]-2 [space]-1 [space]-2 KJTx [space] -0.30 [space]-0.52 [space]-1 [space]-1 [space]-1 [space]-2 Axxx [space] -0.13 [space]-0.17 [space] 0 [space] 0 [space]-1 [space]-1 KQxx [space] -0.39 [space]-0.49 [space]-1 [space]-1 [space]-2 [space]-2 ATxx [space] -0.15 [space]-0.26 [space] 0 [space]-1 [space]-1 [space]-1 KQTx [space] -0.44 [space]-0.50 [space]-1 [space]-1 [space]-2 [space]-2 KQJx [space] -0.45 [space]-0.50 [space]-1 [space]-1 [space]-2 [space]-2 KQJT [space] -0.35 [space]-0.44 [space]-1 [space]-1 [space]-1 [space]-2 AJxx [space] -0.23 [space]-0.36 [space]-1 [space]-1 [space]-1 [space]-1 AJTx [space] -0.27 [space]-0.42 [space]-1 [space]-1 [space]-1 [space]-2 AQxx [space] -0.18 [space]-0.40 [space] 0 [space]-1 [space]-1 [space]-2 AQTx [space] -0.15 [space]-0.43 [space] 0 [space]-1 [space]-1 [space]-2 AQJx [space] -0.31 [space]-0.41 [space]-1 [space]-1 [space]-1 [space]-2 AKxx [space] -0.34 [space]-0.36 [space]-1 [space]-1 [space]-1 [space]-1 AQJT [space] -0.51 [space]-0.55 [space]-1 [space]-2 [space]-2 [space]-2 AKTx [space] -0.38 [space]-0.41 [space]-1 [space]-1 [space]-2 [space]-2 AKJx [space] -0.41 [space]-0.49 [space]-1 [space]-1 [space]-2 [space]-2 AKJT [space] -0.43 [space]-0.40 [space]-1 [space]-1 [space]-2 [space]-2 AKQx [space] -0.51 [space]-0.46 [space]-1 [space]-1 [space]-2 [space]-2 AKQT [space] -0.39 [space]-0.69 [space]-1 [space]-2 [space]-2 [space]-3 AKQJ [space] -0.40 [space]-0.88 [space]-1 [space]-2 [space]-2 [space]-4 xxxxx [space] 0.00 [space] 0.00 [space] 0 [space] 0 [space] 0 [space] 0 Txxxx [space]-0.04 [space]-0.04 [space] 0 [space] 0 [space] 0 [space] 0 Jxxxx [space] 0.01 [space]-0.07 [space] 0 [space] 0 [space] 0 [space] 0 JTxxx [space]-0.06 [space]-0.11 [space] 0 [space] 0 [space] 0 [space] 0 Qxxxx [space]-0.13 [space]-0.27 [space] 0 [space]-1 [space]-1 [space]-1 QTxxx [space]-0.12 [space]-0.21 [space] 0 [space]-1 [space] 0 [space]-1 QJxxx [space]-0.20 [space]-0.29 [space]-1 [space]-1 [space]-1 [space]-1 QJTxx [space]-0.26 [space]-0.22 [space]-1 [space]-1 [space]-1 [space]-1 Kxxxx [space]-0.27 [space]-0.34 [space]-1 [space]-1 [space]-1 [space]-1 KTxxx [space]-0.26 [space]-0.45 [space]-1 [space]-1 [space]-1 [space]-2 KJxxx [space]-0.33 [space]-0.56 [space]-1 [space]-2 [space]-1 [space]-2 KJTxx [space]-0.41 [space]-0.42 [space]-1 [space]-1 [space]-2 [space]-2 Axxxx [space]-0.20 [space]-0.18 [space]-1 [space] 0 [space]-1 [space]-1 KQxxx [space]-0.43 [space]-0.51 [space]-1 [space]-1 [space]-2 [space]-2 KQTxx [space]-0.59 [space]-0.61 [space]-2 [space]-2 [space]-2 [space]-3 ATxxx [space]-0.11 [space]-0.27 [space] 0 [space]-1 [space] 0 [space]-1 KQJxx [space]-0.50 [space]-0.60 [space]-1 [space]-2 [space]-2 [space]-2 KQJTx [space]-0.44 [space]-0.67 [space]-1 [space]-2 [space]-2 [space]-3 AJxxx [space]-0.26 [space]-0.38 [space]-1 [space]-1 [space]-1 [space]-2 AJTxx [space]-0.25 [space]-0.40 [space]-1 [space]-1 [space]-1 [space]-2 AQxxx [space]-0.20 [space]-0.57 [space]-1 [space]-2 [space]-1 [space]-2 AQTxx [space]-0.24 [space]-0.57 [space]-1 [space]-2 [space]-1 [space]-2 AQJxx [space]-0.25 [space]-0.64 [space]-1 [space]-2 [space]-1 [space]-3 AKxxx [space]-0.43 [space]-0.47 [space]-1 [space]-1 [space]-2 [space]-2 AQJTx [space]-0.41 [space]-0.24 [space]-1 [space]-1 [space]-2 [space]-1 AKTxx [space]-0.41 [space]-0.74 [space]-1 [space]-2 [space]-2 [space]-3 AKJxx [space]-0.53 [space]-0.56 [space]-1 [space]-2 [space]-2 [space]-2 AKJTx [space]-0.52 [space]-0.65 [space]-1 [space]-2 [space]-2 [space]-3 AKQxx [space]-0.59 [space]-0.64 [space]-2 [space]-2 [space]-2 [space]-3 AKQTx [space]-0.48 [space]-0.66 [space]-1 [space]-2 [space]-2 [space]-3 AKQJx [space]-0.58 [space]-0.56 [space]-2 [space]-2 [space]-2 [space]-2 AKQJT [space] 0.06 [space]-0.30 [space] 0 [space]-1 [space] 0 [space]-1
I’d ignore the values for the stronger 5-card suits. There just weren’t enough samples to make a statistically valid approximation of their worth.
Pretty much every single holding loses value. This is another effect of the honor devaluation + a constant that we saw in Part 2. What we saw there was that if partner bid a 5+ suit, we lost HCP in all of our outside suits, but we added a constant. A good approximation was that we subtract 1/3 of all our HCP outside of partner’s suit, but we add a constant of 3 points (4 for TSP). This was because partner is more likely to be unbalanced than an average hand and so high cards become less important while shape becomes more important. Weak hands become stronger while strong hands become weaker. I’ve looked into this effect in a little more detail and found that when partner promises a balanced hand, the opposite is true. In that case our HCP actually become worth more than they did before. This overall effect of the changing weight of honor cards depending on the balanced/unbalanced nature of the other hands is going to need more investigation. It might be the subject of Part 5 of this series. At the table, we’ve generally just assigned a constant value to high cards and gotten by, but in reality, they change a lot.
We saw that when partner has a 5+ suit, points outside his suit lose 1/3 of their value (multiply by 0.67). What’s the factor when the opponents bid? For honors outside their suit it actually gets multiplied by the same number (0.67)! And again we add the constant of 3 points (4 for TSP). It doesn’t matter much if it was RHO or LHO and all holdings devalue approximately by this same factor of 0.67. Honors in the opponent’s suit are trickier. The average multiplier is 0.90 for RHO and 0.81 for LHO. But while in the other cases almost all cards were devalued by the same factor, when the opponents bid, Aces aren’t devalued as much and there are some other holding combinations that defy straight factoring. Also longer suits tend to devalue more. So Kxxx will lose more value than Kx. If we ignore this and just multiply by this factor, we’d get the following additional adjustments:
[space] [space] [space] [space] [space] Tricks [space] [space] [space] MWC [space] [space] TSP [space] [space] [space] [space] RHO [space] [space]LHO [space] RHO LHO RHO LHO x [space] [space] [space] 0.00 [space] 0.00 [space] 0 [space] 0 [space] 0 [space] 0 T [space] [space] [space]-0.01 [space]-0.05 [space] 0 [space] 0 [space] 0 [space] 0 J [space] [space] [space]-0.05 [space]-0.02 [space] 0 [space] 0 [space] 0 [space] 0 Q [space] [space] [space]-0.06 [space]-0.03 [space] 0 [space] 0 [space] 0 [space] 0 K [space] [space] [space]-0.10 [space]-0.05 [space] 0 [space] 0 [space] 0 [space] 0 A [space] [space] [space] 0.09 [space] 0.18 [space] 0 [space] 1 [space] 0 [space] 1 xx [space] [space] [space]0.00 [space] 0.00 [space] 0 [space] 0 [space] 0 [space] 0 Tx [space] [space] -0.02 [space]-0.02 [space] 0 [space] 0 [space] 0 [space] 0 Jx [space] [space] -0.02 [space]-0.05 [space] 0 [space] 0 [space] 0 [space] 0 JT [space] [space] -0.09 [space]-0.10 [space] 0 [space] 0 [space] 0 [space] 0 Qx [space] [space] -0.05 [space]-0.09 [space] 0 [space] 0 [space] 0 [space] 0 QT [space] [space] -0.05 [space]-0.13 [space] 0 [space] 0 [space] 0 [space]-1 QJ [space] [space] -0.16 [space]-0.10 [space] 0 [space] 0 [space]-1 [space] 0 Kx [space] [space] [space]0.07 [space]-0.05 [space] 0 [space] 0 [space] 0 [space] 0 KT [space] [space] -0.02 [space]-0.12 [space] 0 [space] 0 [space] 0 [space] 0 KJ [space] [space] [space]0.03 [space]-0.03 [space] 0 [space] 0 [space] 0 [space] 0 KQ [space] [space] -0.10 [space]-0.04 [space] 0 [space] 0 [space] 0 [space] 0 Ax [space] [space] [space]0.12 [space] 0.15 [space] 0 [space] 0 [space] 1 [space] 1 AT [space] [space] [space]0.12 [space] 0.13 [space] 0 [space] 0 [space] 1 [space] 1 AJ [space] [space] [space]0.13 [space] 0.13 [space] 0 [space] 0 [space] 1 [space] 1 AQ [space] [space] [space]0.21 [space] 0.11 [space] 1 [space] 0 [space] 1 [space] 0 AK [space] [space] [space]0.09 [space] 0.25 [space] 0 [space] 1 [space] 0 [space] 1 xxx [space] [space] 0.00 [space] 0.00 [space] 0 [space] 0 [space] 0 [space] 0 Txx [space] [space]-0.03 [space]-0.07 [space] 0 [space] 0 [space] 0 [space] 0 Jxx [space] [space]-0.05 [space]-0.11 [space] 0 [space] 0 [space] 0 [space] 0 JTx [space] [space]-0.12 [space]-0.11 [space] 0 [space] 0 [space]-1 [space] 0 Qxx [space] [space]-0.06 [space]-0.16 [space] 0 [space] 0 [space] 0 [space]-1 QTx [space] [space]-0.14 [space]-0.19 [space] 0 [space]-1 [space]-1 [space]-1 QJx [space] [space]-0.16 [space]-0.18 [space] 0 [space] 0 [space]-1 [space]-1 QJT [space] [space]-0.20 [space]-0.21 [space]-1 [space]-1 [space]-1 [space]-1 Kxx [space] [space] 0.03 [space]-0.13 [space] 0 [space] 0 [space] 0 [space]-1 KTx [space] [space]-0.04 [space]-0.18 [space] 0 [space] 0 [space] 0 [space]-1 KJx [space] [space]-0.02 [space]-0.19 [space] 0 [space]-1 [space] 0 [space]-1 KJT [space] [space]-0.02 [space]-0.12 [space] 0 [space] 0 [space] 0 [space]-1 Axx [space] [space] 0.09 [space] 0.18 [space] 0 [space] 1 [space] 0 [space] 1 KQx [space] [space]-0.13 [space]-0.12 [space] 0 [space] 0 [space]-1 [space]-1 ATx [space] [space] 0.09 [space] 0.10 [space] 0 [space] 0 [space] 0 [space] 0 KQT [space] [space]-0.02 [space]-0.15 [space] 0 [space] 0 [space] 0 [space]-1 KQJ [space] [space]-0.24 [space]-0.04 [space]-1 [space] 0 [space]-1 [space] 0 AJx [space] [space] 0.12 [space] 0.02 [space] 0 [space] 0 [space] 0 [space] 0 AJT [space] [space] 0.05 [space] 0.01 [space] 0 [space] 0 [space] 0 [space] 0 AQx [space] [space] 0.15 [space] 0.05 [space] 0 [space] 0 [space] 1 [space] 0 AQT [space] [space] 0.27 [space]-0.05 [space] 1 [space] 0 [space] 1 [space] 0 AQJ [space] [space] 0.14 [space] 0.02 [space] 0 [space] 0 [space] 1 [space] 0 AKx [space] [space] 0.07 [space] 0.19 [space] 0 [space] 1 [space] 0 [space] 1 AKT [space] [space] 0.10 [space] 0.11 [space] 0 [space] 0 [space] 0 [space] 0 AKJ [space] [space] 0.14 [space] 0.14 [space] 0 [space] 0 [space] 1 [space] 1 AKQ [space] [space]-0.01 [space] 0.02 [space] 0 [space] 0 [space] 0 [space] 0 xxxx [space] [space]0.00 [space] 0.00 [space] 0 [space] 0 [space] 0 [space] 0 Txxx [space] [space]0.01 [space]-0.07 [space] 0 [space] 0 [space] 0 [space] 0 Jxxx [space] -0.08 [space]-0.05 [space] 0 [space] 0 [space] 0 [space] 0 JTxx [space] -0.13 [space]-0.02 [space] 0 [space] 0 [space]-1 [space] 0 Qxxx [space] -0.09 [space]-0.10 [space] 0 [space] 0 [space] 0 [space] 0 QTxx [space] -0.10 [space]-0.14 [space] 0 [space] 0 [space] 0 [space]-1 QJxx [space] -0.15 [space]-0.15 [space] 0 [space] 0 [space]-1 [space]-1 QJTx [space] -0.24 [space]-0.07 [space]-1 [space] 0 [space]-1 [space] 0 Kxxx [space] -0.06 [space]-0.16 [space] 0 [space] 0 [space] 0 [space]-1 KTxx [space] -0.08 [space]-0.21 [space] 0 [space]-1 [space] 0 [space]-1 KJxx [space] -0.10 [space]-0.28 [space] 0 [space]-1 [space] 0 [space]-1 KJTx [space] -0.14 [space]-0.23 [space] 0 [space]-1 [space]-1 [space]-1 Axxx [space] [space]0.04 [space] 0.13 [space] 0 [space] 0 [space] 0 [space] 1 KQxx [space] -0.21 [space]-0.18 [space]-1 [space]-1 [space]-1 [space]-1 ATxx [space] [space]0.03 [space] 0.07 [space] 0 [space] 0 [space] 0 [space] 0 KQTx [space] -0.26 [space]-0.16 [space]-1 [space] 0 [space]-1 [space]-1 KQJx [space] -0.25 [space]-0.15 [space]-1 [space] 0 [space]-1 [space]-1 KQJT [space] -0.14 [space]-0.08 [space] 0 [space] 0 [space]-1 [space] 0 AJxx [space] -0.02 [space] 0.01 [space] 0 [space] 0 [space] 0 [space] 0 AJTx [space] -0.05 [space]-0.02 [space] 0 [space] 0 [space] 0 [space] 0 AQxx [space] [space]0.06 [space] 0.02 [space] 0 [space] 0 [space] 0 [space] 0 AQTx [space] [space]0.10 [space] 0.03 [space] 0 [space] 0 [space] 0 [space] 0 AQJx [space] -0.05 [space] 0.07 [space] 0 [space] 0 [space] 0 [space] 0 AKxx [space] -0.07 [space] 0.14 [space] 0 [space] 0 [space] 0 [space] 1 AQJT [space] -0.23 [space]-0.05 [space]-1 [space] 0 [space]-1 [space] 0 AKTx [space] -0.09 [space] 0.11 [space] 0 [space] 0 [space] 0 [space] 0 AKJx [space] -0.11 [space] 0.06 [space] 0 [space] 0 [space] 0 [space] 0 AKJT [space] -0.12 [space] 0.16 [space] 0 [space] 0 [space] 0 [space] 1 AKQx [space] -0.19 [space] 0.12 [space]-1 [space] 0 [space]-1 [space] 1 AKQT [space] -0.06 [space]-0.09 [space] 0 [space] 0 [space] 0 [space] 0 AKQJ [space] -0.06 [space]-0.26 [space] 0 [space]-1 [space] 0 [space]-1 xxxxx [space] 0.00 [space] 0.00 [space] 0 [space] 0 [space] 0 [space] 0 Txxxx [space]-0.02 [space]-0.01 [space] 0 [space] 0 [space] 0 [space] 0 Jxxxx [space] 0.03 [space]-0.02 [space] 0 [space] 0 [space] 0 [space] 0 JTxxx [space]-0.02 [space]-0.03 [space] 0 [space] 0 [space] 0 [space] 0 Qxxxx [space]-0.08 [space]-0.17 [space] 0 [space] 0 [space] 0 [space]-1 QTxxx [space]-0.05 [space]-0.08 [space] 0 [space] 0 [space] 0 [space] 0 QJxxx [space]-0.11 [space]-0.13 [space] 0 [space] 0 [space] 0 [space]-1 QJTxx [space]-0.16 [space]-0.04 [space] 0 [space] 0 [space]-1 [space] 0 Kxxxx [space]-0.17 [space]-0.15 [space] 0 [space] 0 [space]-1 [space]-1 KTxxx [space]-0.14 [space]-0.23 [space] 0 [space]-1 [space]-1 [space]-1 KJxxx [space]-0.19 [space]-0.31 [space]-1 [space]-1 [space]-1 [space]-1 KJTxx [space]-0.26 [space]-0.15 [space]-1 [space] 0 [space]-1 [space]-1 Axxxx [space]-0.03 [space] 0.12 [space] 0 [space] 0 [space] 0 [space] 1 KQxxx [space]-0.26 [space]-0.21 [space]-1 [space]-1 [space]-1 [space]-1 KQTxx [space]-0.41 [space]-0.29 [space]-1 [space]-1 [space]-2 [space]-1 ATxxx [space] 0.07 [space] 0.06 [space] 0 [space] 0 [space] 0 [space] 0 KQJxx [space]-0.31 [space]-0.25 [space]-1 [space]-1 [space]-1 [space]-1 KQJTx [space]-0.24 [space]-0.30 [space]-1 [space]-1 [space]-1 [space]-1 AJxxx [space]-0.06 [space]-0.01 [space] 0 [space] 0 [space] 0 [space] 0 AJTxx [space]-0.03 [space] 0.00 [space] 0 [space] 0 [space] 0 [space] 0 AQxxx [space] 0.03 [space]-0.15 [space] 0 [space] 0 [space] 0 [space]-1 AQTxx [space] 0.01 [space]-0.12 [space] 0 [space] 0 [space] 0 [space] 0 AQJxx [space] 0.02 [space]-0.16 [space] 0 [space] 0 [space] 0 [space]-1 AKxxx [space]-0.16 [space] 0.02 [space] 0 [space] 0 [space]-1 [space] 0 AQJTx [space]-0.13 [space] 0.25 [space] 0 [space] 1 [space]-1 [space] 1 AKTxx [space]-0.12 [space]-0.22 [space] 0 [space]-1 [space] 0 [space]-1 AKJxx [space]-0.22 [space]-0.01 [space]-1 [space] 0 [space]-1 [space] 0 AKJTx [space]-0.21 [space]-0.08 [space]-1 [space] 0 [space]-1 [space] 0 AKQxx [space]-0.26 [space]-0.06 [space]-1 [space] 0 [space]-1 [space] 0 AKQTx [space]-0.14 [space]-0.06 [space] 0 [space] 0 [space]-1 [space] 0 AKQJx [space]-0.24 [space] 0.06 [space]-1 [space] 0 [space]-1 [space] 0 AKQJT [space] 0.41 [space] 0.33 [space] 1 [space] 1 [space] 2 [space] 1
So what can we get from this? I’m not sure.
It’s a lot more complicated than simple rules can accommodate. But seriously, I’m trying to get a feel for the actual quantitative size of adjustments that good card players make all the time. I’m not sure that a lot of us are really making enough adjustments. When your LHO opens 1♠, these two hands become about the same strength:- [space] [space] [space] [space] [space] [space] [space] [space]Kxxxx xxxxx [space] [space] vs. [space] [space]Kxx xxxx [space] [space] [space] [space] [space] [space] QJT xxxx [space] [space] [space] [space] [space] [space] KT
Are you adjusting enough?