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For 12 HCP hands no a with only one K is below average. (see complete computer output in computer output section) 4333 no A two K is just slightly above average.

4333 no A and only one K:-

 North South results
** best contract(NT or suit) average trick is 7.934
** best suit contract average trick is 7.857
** no trump average trick is 6.569

48.59% positive score for N/S.

  East West results
** best contract(NT or suit) average trick is 8.165
** best suit contract average trick is 8.163
** no trump average trick is 5.787

51.41% positive score for E/W.

This is for both not vul
North south make 409 38.51% 314.35 East west make 436 41.05% -345.87
North south sac 110 10.36% -120.00 East west sac 107 10.08% 178.50

 

4333 no A and two or one K:-

 North South results
** best contract(NT or suit) average trick is 8.020
** best suit contract average trick is 7.949
** no trump average trick is 6.623

50.75% positive score for N/S.

  East West results
** best contract(NT or suit) average trick is 8.072
** best suit contract average trick is 8.072
** no trump average trick is 5.754

49.25% positive score for E/W.

This is for both not vul
North south make 4021 41.19% 328.28 East west make 3913 40.08% -314.79
North south sac 895 9.17% -139.55 East west sac 933 9.56% 150.91

4333 no A and exactly two K:-

  North South results
** best contract(NT or suit) average trick is 8.031
** best suit contract average trick is 7.960
** no trump average trick is 6.630

51.01% positive score for N/S.

 East West results
** best contract(NT or suit) average trick is 8.061
** best suit contract average trick is 8.061
** no trump average trick is 5.750

48.99% positive score for E/W.

This is for both not vul
North south make 3612 41.52% 329.86 East west make 3477 39.97% -310.89
North south sac 785 9.02% -142.29 East west sac 826 9.49% 147.34

 

 

4333 and 2 or less control:-

 North South results
** best contract(NT or suit) average trick is 8.051
** best suit contract average trick is 7.980
** no trump average trick is 6.679

51.25% positive score for N/S.

 East West results
** best contract(NT or suit) average trick is 8.047
** best suit contract average trick is 8.047
** no trump average trick is 5.700

48.75% positive score for E/W.

This is for both not vul
North south make 5539 41.49% 334.78 East west make 5277 39.53% -306.58
North south sac 1231 9.22% -141.10 East west sac 1303 9.76% 155.72

 

4432 no A and only one K:- 

 North South results
** best contract(NT or suit) average trick is 7.995
** best suit contract average trick is 7.941
** no trump average trick is 6.340

48.11% positive score for N/S.

 East West results
** best contract(NT or suit) average trick is 8.233
** best suit contract average trick is 8.233
** no trump average trick is 6.029

51.89% positive score for E/W.

This is for both not vul
North south make 768 39.73% 318.16 East west make 786 40.66% -372.07
North south sac 217 11.23% -156.22 East west sac 162 8.38% 140.74

 

4432 no A and only two or one K:-

  North South results
** best contract(NT or suit) average trick is 8.232
** best suit contract average trick is 8.183
** no trump average trick is 6.480

51.77% positive score for N/S.

  East West results
** best contract(NT or suit) average trick is 8.102
** best suit contract average trick is 8.101
** no trump average trick is 5.864

48.23% positive score for E/W.

This is for both not vul
North south make 8068 41.67% 340.66 East west make 7357 38.00% -339.15
North south sac 1980 10.23% -167.73 East west sac 1955 10.10% 150.33