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IMP scoring

With 9 HCL points you should invite game. Accept game unless with only 15 HCL hand. This is true for MP scoring and IMP scoring (see IMP scoring page for explaination)

North south cannot make any contract = 0.07% East West cannot make any contract = 40.37%
North south make partial contract = 43.04% East West make partial contract = 56.87%
North south make any game = 54.71% East West make any game = 2.66%
North south make any small slam = 2.00% East West make any small slam = 0.10%
North south make any grand slam = 0.19% East West make any grand slam = 0.01%
North south cannot make any NT contract = 11.02% East West cannot make any NT contract = 96.70%
North south make partial NT contract = 48.19% East West make partial NT contract = 3.17%
North south make NT game = 40.53% East West make NT game = 0.12%
North south make NT small slam = 0.24% East West make NT small slam = 0.01%
North south make NT grand slam = 0.03% East West make NT grand slam = 0.00%
North south NT makes more then suit = 38.47% East West NT makes more then suit = 1.02%
North south NT makes equal to suit = 2.67% East West NT makes equal to suit = 4.12%
North south NT makes less then suit = 58.86% East West NT makes less then suit = 94.86%

9 HCL with no 5 card suit (9 HCP)

North south cannot make any contract = 0.10% East West cannot make any contract = 58.81%
North south make partial contract = 39.37% East West make partial contract = 40.65%
North south make any game = 59.51% East West make any game = 0.53%
North south make any small slam = 0.94% East West make any small slam = 0.01%
North south make any grand slam = 0.08% East West make any grand slam = 0.00%

15 HCL NT opening

North south cannot make any contract = 0.15% East West cannot make any contract = 51.88%
North south make partial contract = 57.02% East West make partial contract = 47.76%
North south make any game = 42.70% East West make any game = 0.33%
North south make any small slam = 0.13% East West make any small slam = 0.03%
North south make any grand slam = 0.00% East West make any grand slam = 0.00%

16 HCL NT opening

North south cannot make any contract = 0.12% East West cannot make any contract = 57.87%
North south make partial contract = 41.97% East West make partial contract = 41.44%
North south make any game = 57.47% East West make any game = 0.69%
North south make any small slam = 0.42% East West make any small slam = 0.00%
North south make any grand slam = 0.02% East West make any grand slam = 0.00%

9 HCL with 5 card suit (8 HCP)

North south cannot make any contract = 0.07% East West cannot make any contract = 37.59%
North south make partial contract = 46.16% East West make partial contract = 60.32%
North south make any game = 51.68% East West make any game = 2.04%
North south make any small slam = 1.96% East West make any small slam = 0.05%
North south make any grand slam = 0.13% East West make any grand slam = 0.00%

15 HCL NT opening

North south cannot make any contract = 0.14% East West cannot make any contract = 29.41%
North south make partial contract = 60.57% East West make partial contract = 68.67%
North south make any game = 38.71% East West make any game = 1.92%
North south make any small slam = 0.51% East West make any small slam = 0.00%
North south make any grand slam = 0.07% East West make any grand slam = 0.00%

16 HCL NT opening

North south cannot make any contract = 0.08% East West cannot make any contract = 36.25%
North south make partial contract = 49.52% East West make partial contract = 61.46%
North south make any game = 49.10% East West make any game = 2.19%
North south make any small slam = 1.17% East West make any small slam = 0.10%
North south make any grand slam = 0.12% East West make any grand slam = 0.00%

9 HCL with 6 card suit (7 HCP)

North south cannot make any contract = 0.03% East West cannot make any contract = 18.21%
North south make partial contract = 44.30% East West make partial contract = 75.65%
North south make any game = 51.94% East West make any game = 5.87%
North south make any small slam = 3.35% East West make any small slam = 0.23%
North south make any grand slam = 0.38% East West make any grand slam = 0.05%

15 HCL NT opening

North south cannot make any contract = 0.05% East West cannot make any contract = 10.44%
North south make partial contract = 56.28% East West make partial contract = 83.17%
North south make any game = 41.64% East West make any game = 6.28%
North south make any small slam = 1.81% East West make any small slam = 0.05%
North south make any grand slam = 0.21% East West make any grand slam = 0.05%

16 HCL NT opening

North south cannot make any contract = 0.04% East West cannot make any contract = 15.77%
North south make partial contract = 47.13% East West make partial contract = 77.06%
North south make any game = 49.96% East West make any game = 6.59%
North south make any small slam = 2.69% East West make any small slam = 0.49%
North south make any grand slam = 0.18% East West make any grand slam = 0.09%