I *suspect* that having 0 out of 12 in the long sun is very rare. But I can't prove it.
I *suspect* that having 0 out of 12 in the long sun is very rare. But I can't prove it.
You have 5-3-3-2 distribution with 12 hcp.
What is the distribution of the long suit's hcp?
I am not very interested a simulation.
You have 5-3-3-2 distribution with 12 hcp.Perhaps an actual count, then?
What is the distribution of the long suit's hcp?
I am not very interested a simulation.
There are 651552408 hands with 12HCP, 5 clubs, 3H, 3D, 2S.
- 22278942
0 22278942 0.034194
J 34145496
1 34145496 0.052406
Q 45532746
2 45532746 0.069883
QJ 38758356
K 58137534
3 96895890 0.148715
KJ 48945708
A 73418562
4 122364270 0.187804
KQ 57861972
AJ 57861972
5 115723944 0.177613
KQJ 24666768
AQ 57555792
6 82222560 0.126195
AQJ 24854688
AK 57994272
7 82848960 0.127156
AKJ 26062560
8 26062560 0.040001
AKQ 20036160
9 20036160 0.030751
AKQJ 3440880
10 3440880 0.005281
--
Don Reble d...@nk.ca
thank you.You have 5-3-3-2 distribution with 12 hcp.Perhaps an actual count, then?
What is the distribution of the long suit's hcp?
I am not very interested a simulation.
There are 651552408 hands with 12HCP, 5 clubs, 3H, 3D, 2S.
- 22278942
0 22278942 0.034194
J 34145496
1 34145496 0.052406
Q 45532746
2 45532746 0.069883
QJ 38758356
K 58137534
3 96895890 0.148715
KJ 48945708
A 73418562
4 122364270 0.187804
KQ 57861972
AJ 57861972
5 115723944 0.177613
KQJ 24666768
AQ 57555792
6 82222560 0.126195
AQJ 24854688
AK 57994272
7 82848960 0.127156
AKJ 26062560
8 26062560 0.040001
AKQ 20036160
9 20036160 0.030751
AKQJ 3440880
10 3440880 0.005281
--
Don Reble d...@nk.ca
On Wednesday, September 29, 2021 at 1:13:21 PM UTC+7, Don Reble wrote:I was interested in distribution of hcp in *long* suit.
You have 5-3-3-2 distribution with 12 hcp.Perhaps an actual count, then?
What is the distribution of the long suit's hcp?
I am not very interested a simulation.
There are 651552408 hands with 12HCP, 5 clubs, 3H, 3D, 2S.
- 22278942
0 22278942 0.034194
J 34145496
1 34145496 0.052406
Q 45532746
2 45532746 0.069883
QJ 38758356
K 58137534
3 96895890 0.148715
KJ 48945708
A 73418562
4 122364270 0.187804
KQ 57861972
AJ 57861972
5 115723944 0.177613
KQJ 24666768
AQ 57555792
6 82222560 0.126195
AQJ 24854688
AK 57994272
7 82848960 0.127156
AKJ 26062560
8 26062560 0.040001
AKQ 20036160
9 20036160 0.030751
AKQJ 3440880
10 3440880 0.005281
--I hope Don Reble won't feel insulted if I tell him what he already knows:
Don Reble d...@nk.ca
His numbers are correct!
This seemed like a fun little program to add to my fun source distribution; it was very convenient to have Don's numbers to double-check my code.
Here's a possibly useful result for No Trump bidding:
With 16 HCP and 2-3-3-5, how many HCPs can you expect in your doubleton?
0 - 61235676 22.4%
1 - 23299596 8.5%
2 - 34276284 12.5%
3 - 51778800 18.9%
4 - 66772620 24.4%
5 - 16587972 6.1%
6 - 9555444 3.5%
7 - 10406196 3.8%
Email me at the From: address if you want any of this source.
Cheers,
Jamie
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