Apologies. I am sure nobody is interested inthe following numbers but I do not have the enerrgy to summarise
I was using Beling's bdeal with 10,000 hands and tried to cover South opening 1M in 1st or 2nd seat and West not overcalling, prepempting or doubling and North having a "forcing" 1NT hand
c= clubs, d = diamonds, h= hearts
and all the shape counts are most of the most likely shapes
shape7plusis anything wiht 7 or more in either minor
there is around 1 percent left over - mostly involving voids I guess
the reason for heart counts are first that I needed to find a bug but it is an interesting aspect of the 1NT bid
.. and I am playing SJS
c0: 35 / 10000 = 0.0035 Ań 0.00115764 (95% conf.) min: 0 max: 1 sdev: 0.0590572
c1: 283 / 10000 = 0.0283 Ań 0.00325057 (95% conf.) min: 0 max: 1 sdev: 0.165829
c2: 1157 / 10000 = 0.1157 Ań 0.00626999 (95% conf.) min: 0 max: 1 sdev: 0.319865
c3: 2371 / 10000 = 0.2371 Ań 0.00833682 (95% conf.) min: 0 max: 1 sdev: 0.425304
c4: 2824 / 10000 = 0.2824 Ań 0.00882418 (95% conf.) min: 0 max: 1 sdev: 0.450167
c5: 2024 / 10000 = 0.2024 Ań 0.00787587 (95% conf.) min: 0 max: 1 sdev: 0.401789
c6: 985 / 10000 = 0.0985 Ań 0.00584119 (95% conf.) min: 0 max: 1 sdev: 0.29799
c7+: 321 / 10000 = 0.0321 Ań 0.00345516 (95% conf.) min: 0 max: 1 sdev: 0.176266
d0: 39 / 10000 = 0.0039 Ań 0.00122176 (95% conf.) min: 0 max: 1 sdev: 0.0623281
d1: 321 / 10000 = 0.0321 Ań 0.00345516 (95% conf.) min: 0 max: 1 sdev: 0.176266
d2: 1133 / 10000 = 0.1133 Ań 0.00621304 (95% conf.) min: 0 max: 1 sdev: 0.316959
d3: 2278 / 10000 = 0.2278 Ań 0.00822134 (95% conf.) min: 0 max: 1 sdev: 0.419413
d4: 2813 / 10000 = 0.2813 Ań 0.00881372 (95% conf.) min: 0 max: 1 sdev: 0.449634
d5: 2123 / 10000 = 0.2123 Ań 0.00801597 (95% conf.) min: 0 max: 1 sdev: 0.408936
d6: 971 / 10000 = 0.0971 Ań 0.00580404 (95% conf.) min: 0 max: 1 sdev: 0.296094
d7+: 322 / 10000 = 0.0322 Ań 0.00346036 (95% conf.) min: 0 max: 1 sdev: 0.176531
h0: 116 / 10000 = 0.0116 Ań 0.00209892 (95% conf.) min: 0 max: 1 sdev: 0.107077
h1: 855 / 10000 = 0.0855 Ań 0.0054812 (95% conf.) min: 0 max: 1 sdev: 0.279624
h2: 2352 / 10000 = 0.2352 Ań 0.00831368 (95% conf.) min: 0 max: 1 sdev: 0.424124
h3: 1995 / 10000 = 0.1995 Ań 0.00783344 (95% conf.) min: 0 max: 1 sdev: 0.399625
h4: 2287 / 10000 = 0.2287 Ań 0.00823276 (95% conf.) min: 0 max: 1 sdev: 0.419996
h5+: 2395 / 10000 = 0.2395 Ań 0.00836571 (95% conf.) min: 0 max: 1 sdev: 0.426778
shape7plus=: 643 / 10000 = 0.0643 Ań 0.00480811 (95% conf.) min: 0 max: 1 sdev: 0.245287
shapem15=: 163 / 10000 = 0.0163 Ań 0.00248214 (95% conf.) min: 0 max: 1 sdev: 0.126627
shapem16=: 128 / 10000 = 0.0128 Ań 0.00220348 (95% conf.) min: 0 max: 1 sdev: 0.112411
shapem24=: 550 / 10000 = 0.055 Ań 0.00446887 (95% conf.) min: 0 max: 1 sdev: 0.22798
shapem25=: 616 / 10000 = 0.0616 Ań 0.00471287 (95% conf.) min: 0 max: 1 sdev: 0.240428
shapem26=: 548 / 10000 = 0.0548 Ań 0.00446121 (95% conf.) min: 0 max: 1 sdev: 0.227589
shapem32=: 260 / 10000 = 0.026 Ań 0.00311937 (95% conf.) min: 0 max: 1 sdev: 0.159135
shapem33=: 384 / 10000 = 0.0384 Ań 0.00376672 (95% conf.) min: 0 max: 1 sdev: 0.19216
shapem34=: 1228 / 10000 = 0.1228 Ań 0.00643353 (95% conf.) min: 0 max: 1 sdev: 0.328207
shapem35=: 1417 / 10000 = 0.1417 Ań 0.00683605 (95% conf.) min: 0 max: 1 sdev: 0.348742
shapem36=: 726 / 10000 = 0.0726 Ań 0.00508631 (95% conf.) min: 0 max: 1 sdev: 0.259479
shapem44=: 974 / 10000 = 0.0974 Ań 0.00581203 (95% conf.) min: 0 max: 1 sdev: 0.296502
shapem45=: 1290 / 10000 = 0.129 Ań 0.00657059 (95% conf.) min: 0 max: 1 sdev: 0.3352
shapem46=: 413 / 10000 = 0.0413 Ań 0.00390047 (95% conf.) min: 0 max: 1 sdev: 0.198983
shapem55=: 265 / 10000 = 0.0265 Ań 0.00314841 (95% conf.) min: 0 max: 1 sdev: 0.160617
shapem56=: 102 / 10000 = 0.0102 Ań 0.00196958 (95% conf.) min: 0 max: 1 sdev: 0.100479
shapem66=: 8 / 10000 = 0.0008 Ań 0.000554207 (95% conf.) min: 0 max: 1 sdev: 0.028273
Number of hands dealt: 360163. CPU time usage [sec]: 0.31 (x8 threads).
If anyone wonders what "Ań" means apart from a character set problem I think they aere standard errors or 1.96 of them. Not sure
EDIT small addendum. Apparently it makes 1NT 68 percent of the time plus or minus small error. No idea how bad the times it does not make are
If you have a werid 1NT hand do you risk passing and missing slam
Is David Kok on holidays