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Simulation request

#1 User is offline   djehuti 

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Posted 2007-November-19, 12:21

Hi, I was wondering if anyone could make a simulation on the following:

South: ♠JT93 ♥J432 ♦4 ♣Q874
North: Balanced-semibalanced 15-17 , NO 5 cards MAJOR, NO 4♠ - 5♣. Any other 5-4-2-2 , 6-3-2-2 , 5-3-3-2, 4-4-3-2, 4-3-3-3.

I want to know if its best to pass or bid 2 ♣ and over 2♦ , 2♥ pass correct. I already did a simulation but i dont have double dummy results and couldnt restrict the north hand as above :(

Tks
Nuno Dâmaso
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#2 User is offline   rbforster 

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Posted 2007-November-19, 13:35

If you (not partner) like playing 7 card fits about half the time, go for it.

fit  prob
6   7.7%
7   44.4%
8   47.9%

Note that whenever partner bids 2♠ directly he'll play an 8 card fit, while much of the time he'll pass your 2♥ rebid with 3 hearts.

contract  prob  avg fit
2♠  34.65%   7.55
2♥  65.35%   7.23

Here are opener's most likely NT hands, and resulting contracts (sorted by decreasing probability) -

hand rel prob contract fit
3-3-4-3   6.75%   2♥   7
3-3-5-2   4.63%   2♥   7
2-3-5-3   4.63%   2♥   7
3-2-5-3   4.63%   2♠   7
3-3-3-4   4.50%   2♥   7
3-4-3-3   4.50%   2♥   8
4-3-3-3   4.50%   2♠   8
2-3-4-4   4.34%   2♥   7
2-4-4-3   4.34%   2♥   8
3-2-4-4   4.34%   2♠   7
3-4-4-2   4.34%   2♥   8
4-3-4-2   4.34%   2♠   8
4-2-4-3   4.34%   2♠   8
2-2-5-4   2.97%   2♥   6
2-4-5-2   2.97%   2♥   8
4-2-5-2   2.97%   2♠   8
4-4-3-2   2.89%   2♥   8
4-2-3-4   2.89%   2♠   8
2-4-3-4   2.89%   2♥   8
3-2-6-2   2.31%   2♠   7
2-3-6-2   2.31%   2♥   7
2-2-6-3   2.31%   2♥   6
4-3-2-4   2.02%   2♠   8
4-4-2-3   2.02%   2♥   8
3-4-2-4   2.02%   2♥   8
3-2-3-5   1.93%   2♠   7
2-3-3-5   1.93%   2♥   7
2-2-4-5   1.86%   2♥   6
3-3-2-5   1.35%   2♥   7
2-4-2-5   0.87%   2♥   8
2-2-3-6   0.55%   2♥   6
3-2-2-6   0.39%   2♠   7
2-3-2-6   0.39%   2♥   7

Avg fit 7.40
Sigma fit 0.63

I'm not sure if this means you should bid 2♣ Stayman or not (I assumed normal responses of only 2♦♥♠). These probabilities are exact calculations based on shape given your hand, but don't include the (minor) corrections for the given HCP range. The HCP correction probably makes the bad fits a tiny bit more likely since there are more diamond honors missing than other suit honors.

For example, if you're hand is 4=5=x=x, Stayman and then pulling to 2♥ (pass/correct) works much better since you'll find the 4-4 spade fit and otherwise play in 2♥ most of the time. This has an average fit of about 8 which means it's probably a good idea (7.9+-0.7).
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#3 User is offline   djehuti 

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Posted 2007-November-19, 13:42

TY very much Rob :(
Nuno Dâmaso
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#4 User is offline   djehuti 

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Posted 2007-November-19, 13:50

i think it will be more difficult to get a simultation with double dummy results.. :\
Nuno Dâmaso
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#5 User is offline   Ronald_21 

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Posted 2007-November-19, 20:27

I did a (limited) simulation with Dealmaster Pro/Deep Finesse and passing 1NT made 7 or more tricks in 32% of the cases. Trying to get to a major made 8 or more tricks in the major in 52% of the cases.

In my sample in 52% of the cases there was a 44-fit, in 41% there was a 43-fit and in 7% a 42-fit.

With a 44-fit 2M made in 77% of the cases and 1NT in 23%.
With a 43-fit 2M made in 29% of the cases and 1NT in 40%.
With a 42-fit 2M made in 1% of the cases and 1NT in 40%.

Clearly to try and play in a major is a lot better than passing 1NT.
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#6 User is offline   pretzalz 

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Posted 2007-November-19, 21:06

This is what I got for 2000 simulated deals. Major is the major that takes the most tricks so is probably on the optimistic side since you won't always get to the 'right' major. The first number is how many tricks you take. Also the strong NT is always declarer even though on some auctions responder will play 2H.

notrump:9:13
notrump:8:137
notrump:7:439
notrump:6:718
notrump:5:532
notrump:4:131
notrump:3:26
notrump:2:3
notrump:1:1

major:11:2
major:10:61
major:9:335
major:8:670
major:7:664
major:6:240
major:5:27
major:4:1


I was surprised how much better you seem to do in the major. Not only does it make more often, it more often makes overtricks, and less often goes down more than 1. Even with the bias in the results it seems clear to bid stayman.
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#7 User is offline   rbforster 

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Posted 2007-November-19, 21:20

Wow, very interesting. I would have figured just from the degrees of fit that trying for a major fit that was only going to work half the time (and a level higher) would be a losing proposition. This seems not to be the case.
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#8 User is offline   djehuti 

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Posted 2007-November-19, 21:22

Ty Ronald and Pretzalz, really nice :P
Nuno Dâmaso
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#9 User is offline   Cascade 

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Posted 2007-November-19, 22:47

Here are some more numbers:

Frequency Major vs NTs:
                0      1      2      3      4      5      6      7      8      9     10     11     12     13          Sum
   0            0      0      0      0      0      0      0      0      0      0      0      0      0      0            0
   1            0      0      0      0      0      0      0      0      0      0      0      0      0      0            0
   2            0      0      0      0      0      0      0      0      0      0      0      0      0      0            0
   3            0      0      0      0      0      0      1      0      0      0      0      0      0      0            1
   4            0      0      0      1      0      3      2      1      0      0      0      0      0      0            7
   5            0      0      0      0      8     12     15     12      1      0      0      0      0      0           48
   6            0      0      0      2      6     47     67     44      6      1      0      0      0      0          173
   7            0      0      4      5     19     68    125     70     17      0      0      0      0      0          308
   8            0      0      0      3     18     80    104     68     24      2      0      0      0      0          299
   9            0      0      0      2      3     25     63     26     16      0      0      0      0      0          135
  10            0      0      0      2      1      3     12      4      5      1      0      0      0      0           28
  11            0      0      0      0      0      0      1      0      0      0      0      0      0      0            1
  12            0      0      0      0      0      0      0      0      0      0      0      0      0      0            0
  13            0      0      0      0      0      0      0      0      0      0      0      0      0      0            0
Sum             0      0      4     15     55    238    390    225     69      4      0      0      0      0         1000


This table shows the number of double dummy tricks in a major (rows - horizontal) versus the number of double dummy tricks in notrumps (columns - vertical).

I chose the major as follows:

If the NT opener has four hearts then hearts declared by the opener;

otherwise if the NT opener has four spades then spades declared by the opener;

otherwise if the NT opener has three spades and two hearts then spades declared by the opener;

and finally otherwise when the NT opener is 3-3 or 2-2 in the majors hearts declared by the responder.
Wayne Burrows

I believe that the USA currently hold only the World Championship For People Who Still Bid Like Your Auntie Gladys - dburn
dunno how to play 4 card majors - JLOGIC
True but I know Standard American and what better reason could I have for playing Precision? - Hideous Hog
Bidding is an estimation of probabilities SJ Simon

#10 User is offline   cherdano 

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Posted 2007-November-19, 23:00

Thanks Wayne, this table is excellent. I especially like it since it agrees with my intuition :P
The easiest way to count losers is to line up the people who talk about loser count, and count them. -Kieran Dyke
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#11 User is offline   han 

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Posted 2007-November-19, 23:56

So if I understand Wayne's table correctly you do quite a bit better in a major, scoring more than one trick extra on average. Is that correct?
Please note: I am interested in boring, bog standard, 2/1.

- hrothgar
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#12 User is offline   Cascade 

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Posted 2007-November-20, 23:51

Here is a bigger sample with some more information.

As well as the collated data I have broken the data down depending on:

1. Whether there is a heart fit - a 2♥ response to Stayman

2. Whether there is a spade fit - a 2♠ response to Stayman

3. No fit with opener passing responder's 2♥

4. No fit with opener converting responder's 2♥ to 2♠

I am not sure this last option is generally value since responder might have five hearts and then it might be right to pass 2♥ even with a doubleton and three spades.

FrequencMajor [space] vs [space] [space] [space]NTs:
 [space] [space] [space] [space] [space] [space] [space] 1 [space] [space] [space] 2 [space] [space] [space] 3 [space] [space] [space] 4 [space] [space] [space] 5 [space] [space] [space] 6 [space] [space] [space] 7 [space] [space] [space] 8 [space] [space] [space] 9 [space] [space] [space]10 [space] [space] [space]11 [space] [space] [space]12 [space] [space] [space]13Sum
 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space] 2 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space] 3 [space] [space] [space] 0 [space] [space] [space] 1 [space] [space] [space] 2 [space] [space] [space] 3 [space] [space] [space] 7 [space] [space] [space] 5 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space]18
 [space] [space] [space] 4 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 2 [space] [space] [space]17 [space] [space] [space]30 [space] [space] [space]29 [space] [space] [space]11 [space] [space] [space] 3 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space]92
 [space] [space] [space] 5 [space] [space] [space] 0 [space] [space] [space] 1 [space] [space] [space] 5 [space] [space] [space]38 [space] [space] 152 [space] [space] 218 [space] [space] 120 [space] [space] [space]14 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] 549
 [space] [space] [space] 6 [space] [space] [space] 0 [space] [space] [space] 3 [space] [space] [space]22 [space] [space] [space]95 [space] [space] 433 [space] [space] 675 [space] [space] 366 [space] [space] [space]56 [space] [space] [space] 9 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space]1659
 [space] [space] [space] 7 [space] [space] [space] 1 [space] [space] [space] 8 [space] [space] [space]52 [space] [space] 203 [space] [space] 669 [space] [space]1153 [space] [space] 705 [space] [space] 134 [space] [space] [space]11 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space]2937
 [space] [space] [space] 8 [space] [space] [space] 1 [space] [space] [space] 6 [space] [space] [space]37 [space] [space] 219 [space] [space] 747 [space] [space]1045 [space] [space] 713 [space] [space] 233 [space] [space] [space]12 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space]3013
 [space] [space] [space] 9 [space] [space] [space] 0 [space] [space] [space] 1 [space] [space] [space]12 [space] [space] [space]87 [space] [space] 338 [space] [space] 501 [space] [space] 345 [space] [space] 119 [space] [space] [space]18 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space]1422
 [space] [space] [space]10 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 4 [space] [space] [space]13 [space] [space] [space]61 [space] [space] [space]95 [space] [space] [space]62 [space] [space] [space]37 [space] [space] [space]14 [space] [space] [space] 2 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] 289
 [space] [space] [space]11 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 2 [space] [space] [space] 6 [space] [space] [space] 9 [space] [space] [space] 3 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space]21
 [space] [space] [space]12 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space]13 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space] [space] [space] [space] [space] 3 [space] [space] [space]20 [space] [space] 136 [space] [space] 675 [space] [space]2439 [space] [space]3727 [space] [space]2331 [space] [space] 599 [space] [space] [space]66 [space] [space] [space] 3 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] 10000

FrequencMajor [space] vs [space] [space] [space]NTs [space] [space] - [space] [space] [space] heart [space] fit:
 [space] [space] [space] [space] [space] [space] [space] 1 [space] [space] [space] 2 [space] [space] [space] 3 [space] [space] [space] 4 [space] [space] [space] 5 [space] [space] [space] 6 [space] [space] [space] 7 [space] [space] [space] 8 [space] [space] [space] 9 [space] [space] [space]10 [space] [space] [space]11 [space] [space] [space]12 [space] [space] [space]13Sum
 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space] 2 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space] 3 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space] 4 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 1
 [space] [space] [space] 5 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 2 [space] [space] [space] 3 [space] [space] [space] 3 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 9
 [space] [space] [space] 6 [space] [space] [space] 0 [space] [space] [space] 1 [space] [space] [space] 8 [space] [space] [space]13 [space] [space] [space]41 [space] [space] [space]29 [space] [space] [space] 6 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space]99
 [space] [space] [space] 7 [space] [space] [space] 0 [space] [space] [space] 3 [space] [space] [space]23 [space] [space] [space]75 [space] [space] 186 [space] [space] 177 [space] [space] [space]71 [space] [space] [space] 9 [space] [space] [space] 2 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] 546
 [space] [space] [space] 8 [space] [space] [space] 0 [space] [space] [space] 5 [space] [space] [space]21 [space] [space] 111 [space] [space] 358 [space] [space] 392 [space] [space] 204 [space] [space] [space]56 [space] [space] [space] 2 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space]1149
 [space] [space] [space] 9 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 4 [space] [space] [space]48 [space] [space] 197 [space] [space] 260 [space] [space] 174 [space] [space] [space]44 [space] [space] [space] 9 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] 737
 [space] [space] [space]10 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 2 [space] [space] [space] 8 [space] [space] [space]48 [space] [space] [space]54 [space] [space] [space]36 [space] [space] [space]25 [space] [space] [space] 9 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] 183
 [space] [space] [space]11 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 2 [space] [space] [space] 4 [space] [space] [space] 4 [space] [space] [space] 2 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space]13
 [space] [space] [space]12 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space]13 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space] [space] [space] [space] [space] 0 [space] [space] [space] 9 [space] [space] [space]58 [space] [space] 258 [space] [space] 835 [space] [space] 919 [space] [space] 496 [space] [space] 137 [space] [space] [space]23 [space] [space] [space] 2 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space]2737

FrequencMajor [space] vs [space] [space] [space]NTs [space] [space] - [space] [space] [space] spade [space] fit:
 [space] [space] [space] [space] [space] [space] [space] 1 [space] [space] [space] 2 [space] [space] [space] 3 [space] [space] [space] 4 [space] [space] [space] 5 [space] [space] [space] 6 [space] [space] [space] 7 [space] [space] [space] 8 [space] [space] [space] 9 [space] [space] [space]10 [space] [space] [space]11 [space] [space] [space]12 [space] [space] [space]13Sum
 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space] 2 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space] 3 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space] 4 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 1
 [space] [space] [space] 5 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 1 [space] [space] [space] 4 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 5
 [space] [space] [space] 6 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 4 [space] [space] [space]12 [space] [space] [space]32 [space] [space] [space]24 [space] [space] [space] 6 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space]79
 [space] [space] [space] 7 [space] [space] [space] 1 [space] [space] [space] 1 [space] [space] [space]18 [space] [space] [space]61 [space] [space] 180 [space] [space] 168 [space] [space] [space]37 [space] [space] [space] 8 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] 474
 [space] [space] [space] 8 [space] [space] [space] 0 [space] [space] [space] 1 [space] [space] [space]13 [space] [space] [space]90 [space] [space] 297 [space] [space] 372 [space] [space] 188 [space] [space] [space]24 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] 986
 [space] [space] [space] 9 [space] [space] [space] 0 [space] [space] [space] 1 [space] [space] [space] 7 [space] [space] [space]36 [space] [space] 130 [space] [space] 212 [space] [space] 129 [space] [space] [space]46 [space] [space] [space] 5 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] 566
 [space] [space] [space]10 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 2 [space] [space] [space] 5 [space] [space] [space]12 [space] [space] [space]39 [space] [space] [space]22 [space] [space] [space]11 [space] [space] [space] 3 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space]95
 [space] [space] [space]11 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 2 [space] [space] [space] 5 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 8
 [space] [space] [space]12 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space]13 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space] [space] [space] [space] [space] 2 [space] [space] [space] 3 [space] [space] [space]44 [space] [space] 206 [space] [space] 655 [space] [space] 817 [space] [space] 387 [space] [space] [space]91 [space] [space] [space] 9 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space]2214

FrequencMajor [space] vs [space] [space] [space]NTs [space] [space] - [space] [space] [space] heart [space] nofit:
 [space] [space] [space] [space] [space] [space] [space] 1 [space] [space] [space] 2 [space] [space] [space] 3 [space] [space] [space] 4 [space] [space] [space] 5 [space] [space] [space] 6 [space] [space] [space] 7 [space] [space] [space] 8 [space] [space] [space] 9 [space] [space] [space]10 [space] [space] [space]11 [space] [space] [space]12 [space] [space] [space]13Sum
 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space] 2 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space] 3 [space] [space] [space] 0 [space] [space] [space] 1 [space] [space] [space] 1 [space] [space] [space] 3 [space] [space] [space] 6 [space] [space] [space] 4 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space]15
 [space] [space] [space] 4 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 1 [space] [space] [space]14 [space] [space] [space]29 [space] [space] [space]29 [space] [space] [space]11 [space] [space] [space] 3 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space]87
 [space] [space] [space] 5 [space] [space] [space] 0 [space] [space] [space] 1 [space] [space] [space] 5 [space] [space] [space]27 [space] [space] 123 [space] [space] 196 [space] [space] 112 [space] [space] [space]13 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] 478
 [space] [space] [space] 6 [space] [space] [space] 0 [space] [space] [space] 1 [space] [space] [space] 3 [space] [space] [space]51 [space] [space] 250 [space] [space] 488 [space] [space] 317 [space] [space] [space]48 [space] [space] [space] 9 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space]1167
 [space] [space] [space] 7 [space] [space] [space] 0 [space] [space] [space] 2 [space] [space] [space] 7 [space] [space] [space]53 [space] [space] 203 [space] [space] 550 [space] [space] 429 [space] [space] [space]90 [space] [space] [space] 8 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space]1342
 [space] [space] [space] 8 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 3 [space] [space] [space]13 [space] [space] [space]70 [space] [space] 169 [space] [space] 212 [space] [space] [space]97 [space] [space] [space] 6 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] 570
 [space] [space] [space] 9 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 1 [space] [space] [space] 2 [space] [space] [space] 8 [space] [space] [space]23 [space] [space] [space]28 [space] [space] [space]16 [space] [space] [space] 3 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space]81
 [space] [space] [space]10 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 2 [space] [space] [space] 4 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 6
 [space] [space] [space]11 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space]12 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space]13 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space] [space] [space] [space] [space] 0 [space] [space] [space] 5 [space] [space] [space]21 [space] [space] 163 [space] [space] 689 [space] [space]1461 [space] [space]1113 [space] [space] 267 [space] [space] [space]27 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space]3746

FrequencMajor [space] vs [space] [space] [space]NTs [space] [space] - [space] [space] [space] spade [space] nofit:
 [space] [space] [space] [space] [space] [space] [space] 1 [space] [space] [space] 2 [space] [space] [space] 3 [space] [space] [space] 4 [space] [space] [space] 5 [space] [space] [space] 6 [space] [space] [space] 7 [space] [space] [space] 8 [space] [space] [space] 9 [space] [space] [space]10 [space] [space] [space]11 [space] [space] [space]12 [space] [space] [space]13Sum
 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space] 2 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0
 [space] [space] [space] 3 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 1 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 3
 [space] [space] [space] 4 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 1 [space] [space] [space] 1 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 3
 [space] [space] [space] 5 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 8 [space] [space] [space]22 [space] [space] [space]19 [space] [space] [space] 7 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space]57
 [space] [space] [space] 6 [space] [space] [space] 0 [space] [space] [space] 1 [space] [space] [space] 7 [space] [space] [space]19 [space] [space] 110 [space] [space] 134 [space] [space] [space]37 [space] [space] [space] 6 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] 314
 [space] [space] [space] 7 [space] [space] [space] 0 [space] [space] [space] 2 [space] [space] [space] 4 [space] [space] [space]14 [space] [space] 100 [space] [space] 258 [space] [space] 168 [space] [space] [space]27 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] 575
 [space] [space] [space] 8 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 5 [space] [space] [space]22 [space] [space] 112 [space] [space] 109 [space] [space] [space]56 [space] [space] [space] 3 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] 308
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 [space] [space] [space]10 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 1 [space] [space] [space] 2 [space] [space] [space] 1 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 0 [space] [space] [space] 5
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Wayne Burrows

I believe that the USA currently hold only the World Championship For People Who Still Bid Like Your Auntie Gladys - dburn
dunno how to play 4 card majors - JLOGIC
True but I know Standard American and what better reason could I have for playing Precision? - Hideous Hog
Bidding is an estimation of probabilities SJ Simon

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Posted 2007-November-21, 00:39

Hannie, on Nov 20 2007, 12:56 AM, said:

So if I understand Wayne's table correctly you do quite a bit better in a major, scoring more than one trick extra on average. Is that correct?

yes. but you are also a level higher :P
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