Here are the numbers for 250,000 boards for EITHER partnership having Game/Slam/Grand:
(HCP)
Opener's Range Game % Small Slam Grand Slam -------------- ---------- ---------- ---------- 12 - 14 34375 13.75 1442 0.577 27 0.011 15 - 17 30411 12.16 1970 0.788 84 0.034 18 - 20 15454 6.18 1611 0.644 90 0.036 21 - 23 4424 1.77 784 0.314 55 0.022 24 - 26 694 0.28 216 0.086 15 0.006 27 - 29 34 0.01 29 0.012 7 0.003 ---------- ------------ ------------ 85392 34.16 6053 2.42 278 0.11
Here are the numbers for 250,000 boards for EITHER partnership having Game/Slam/Grand:
(Zar Points)
Opener's Range Game % Small Slam Grand Slam -------------- ---------- ---------- ---------- 26 - 30 72981 29.19 6401 2.560 1192 0.477 31 - 35 67267 26.91 7377 2.951 1994 0.798 36 - 40 26790 10.72 6539 2.616 1841 0.736 41 - 45 3781 1.51 2704 1.082 1048 0.419 46 - 50 145 0.06 285 0.114 261 0.104 51 - 55 1 0.00 4 0.002 17 0.007 ---------- ------------ ------------ 170965 68.39 23310 9.32 6353 2.54
So for YOUR partnership having Game/Slam/Grand in HCP the numbers are 2 times less:
Game - 17 %
Slam - 1.2 %
Grand - 0.06 %
against for Zar Points:
Game - 34 %
Slam - 4.6 %
Grand - 1.2 %
which in turn means that you bid
Game - 2 TIMES more often;
Slam - 4 TIMES more often;
Grand - 20 TIMES more often.
Put it another way, since statistically in a match of 96 boards there are 32 Games, 8 slams, and 2 Grands (average) you would be expected to get 32-8-2 against 16-2-0 for the opponents in Games/Slams/Grands.
Sounds unbelievable, but that's because the "base" is 26 HCP for a Game, 32 for Slam, 35 for Grand, while in practice expert bridge players are MUCH more aggressive, with or without Zar Points. Yet, these results are a good indicator about how much more aggressive Zar Points are compared to the "take-it-easy" bridge.
Cheers:
ZAR

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