[pilun]

---

Not cold but clubs 3-2 and hearts not 5-1, plus diamond hook, etc.

1♣ - 1♠ = hearts
1N - 2♦ = clubs
2♥ - 3♣ = 2-5-2-4
3N - 4♣ = 9 SPs (3/2/1)
4♦ - 4♠ = ♥-y, ♣-0/2 (so 4+ SPs)
4N - 5♠ = ♠-y, ♦-y, ♥-2nd, ♣-no 3rd

For grands, it's important to be able to pick up QJ & KJ

[DavidKok]

I'm trying to find a better line of play than 'cash three rounds of clubs, play off two top hearts, cross to East in spades, play three more hearts pitching two diamonds and a spade, later ruff West's last spade loser'. As you say that relies on 3-2 clubs (if they split 4-1 even if the singleton is the jack we don't have a fifth heart trick as it can get ruffed, and now we need to rely on a diamond-spade squeeze or the diamond finesse) and hearts being 4-2 or 3-3 or singleton HT. I think that this puts the grand at approximately 47-48% or so - well below the 75% that I normally consider the threshold for wanting to be in grand. What am I missing?

[pilun]

 DavidKok, on 2024-October-19, 04:28, said:

I'm trying to find a better line of play than 'cash three rounds of clubs, play off two top hearts, cross to East in spades, play three more hearts pitching two diamonds and a spade, later ruff West's last spade loser'. As you say that relies on 3-2 clubs (if they split 4-1 even if the singleton is the jack we don't have a fifth heart trick as it can get ruffed, and now we need to rely on a diamond-spade squeeze or the diamond finesse) and hearts being 4-2 or 3-3 or singleton HT. I think that this puts the grand at approximately 47-48% or so - well below the 75% that I normally consider the threshold for wanting to be in grand. What am I missing?

Not so great, as you say.

Not so bad either.
68% clubs 3-2 x 86% hearts coming in is 58%.

Plus other chances as you say.

Say they lead a major. Win in hand, ♣A-Q.
If South has ♣Jxxx, run ♦Q, ruff a diamond, then finish trumps.
East might have had the ♥10, etc.

[DavidKok]

Ah my bad, the initial chances are 58%, not 48%. My mistake.
Combined with the other chances, does that break 75%?

[nullve]

 pilun, on 2024-October-19, 04:44, said:

68% clubs 3-2 x 86% hearts coming in is 58%.

Except that a priori probabilities don't really apply, since opps have had opportunities to bid.

 pilun, on 2024-October-19, 04:44, said:

Say they lead a major. Win in hand, ♣A-Q.

South is the one more likely to have a singleton club.

[pilun]

Can't handle North having ♣Jxxx.

To the 58%, add about 6%(?) for the cases when one suit breaks badly and the diamond finesse wins.

In general I'm happy to be in any grand that needs a 3-2 break, so nearly there. In this case the other table is "virtually certain" to reach 33-point 6♣/6NT. Here 7♣ will gain 11 or lose 14, in which case 56% is the break even point.

[nullve]

pilun, on 2024-October-19, 14:27, said:

Can't handle North having ♣Jxxx.

What do you mean?

Just to illustrate my point that South is the one more likely to have a singleton club (given opps' silence), here are 100 random deals given the EW hands:

Spoiler

   1.
Q 7 4 3             K 6                 J 9 5               A T 8 2 
T 8 4 2             K J 9 6 5           7 3                 A Q 
T 3                 Q J                 K 9 6 5 4 2         A 8 7 
J 7 4               A Q 9 3             5 2                 K T 8 6 

   2.
9 3                 K 6                 Q J 7 5 4           A T 8 2 
T 8 7               K J 9 6 5           4 3 2               A Q 
K T 9 3             Q J                 6 5 4 2             A 8 7 
J 7 5 4             A Q 9 3             2                   K T 8 6 

   3.
Q 9 7 4             K 6                 J 5 3               A T 8 2 
-                   K J 9 6 5           T 8 7 4 3 2         A Q 
9 6 5 4 3 2         Q J                 K T                 A 8 7 
7 5 2               A Q 9 3             J 4                 K T 8 6 

   4.
Q J 9 4 3           K 6                 7 5                 A T 8 2 
T 7 2               K J 9 6 5           8 4 3               A Q 
T 5 2               Q J                 K 9 6 4 3           A 8 7 
5 2                 A Q 9 3             J 7 4               K T 8 6 

   5.
Q 7 4               K 6                 J 9 5 3             A T 8 2 
7 4 3               K J 9 6 5           T 8 2               A Q 
T 5 4 2             Q J                 K 9 6 3             A 8 7 
J 7 4               A Q 9 3             5 2                 K T 8 6 

   6.
4 3                 K 6                 Q J 9 7 5           A T 8 2 
8 7 4 3             K J 9 6 5           T 2                 A Q 
K T 9 6 5 3 2       Q J                 4                   A 8 7 
-                   A Q 9 3             J 7 5 4 2           K T 8 6 

   7.
J 9 7               K 6                 Q 5 4 3             A T 8 2 
7 4 2               K J 9 6 5           T 8 3               A Q 
T 9 3 2             Q J                 K 6 5 4             A 8 7 
5 4 2               A Q 9 3             J 7                 K T 8 6 

   8.
Q 3                 K 6                 J 9 7 5 4           A T 8 2 
8 4 2               K J 9 6 5           T 7 3               A Q 
K 9 6 3             Q J                 T 5 4 2             A 8 7 
J 7 5 4             A Q 9 3             2                   K T 8 6 

   9.
Q J 9 7 5 4         K 6                 3                   A T 8 2 
8 7                 K J 9 6 5           T 4 3 2             A Q 
6 5                 Q J                 K T 9 4 3 2         A 8 7 
J 7 4               A Q 9 3             5 2                 K T 8 6 

  10.
9 7 3               K 6                 Q J 5 4             A T 8 2 
8 4 2               K J 9 6 5           T 7 3               A Q 
T 9 5 2             Q J                 K 6 4 3             A 8 7 
7 5 4               A Q 9 3             J 2                 K T 8 6 

  11.
Q 7 4               K 6                 J 9 5 3             A T 8 2 
7 3 2               K J 9 6 5           T 8 4               A Q 
K T 9 3 2           Q J                 6 5 4               A 8 7 
5 2                 A Q 9 3             J 7 4               K T 8 6 

  12.
J 9 4               K 6                 Q 7 5 3             A T 8 2 
8 7 4               K J 9 6 5           T 3 2               A Q 
K T 9 5 2           Q J                 6 4 3               A 8 7 
7 5                 A Q 9 3             J 4 2               K T 8 6 

  13.
4                   K 6                 Q J 9 7 5 3         A T 8 2 
T 8 7 4 3           K J 9 6 5           2                   A Q 
T 9 5 4 3           Q J                 K 6 2               A 8 7 
J 4                 A Q 9 3             7 5 2               K T 8 6 

  14.
5 4 3               K 6                 Q J 9 7             A T 8 2 
T 8 4               K J 9 6 5           7 3 2               A Q 
9 5 4 3             Q J                 K T 6 2             A 8 7 
J 5 2               A Q 9 3             7 4                 K T 8 6 

  15.
7 4                 K 6                 Q J 9 5 3           A T 8 2 
T 4 3 2             K J 9 6 5           8 7                 A Q 
9 5 2               Q J                 K T 6 4 3           A 8 7 
J 5 4 2             A Q 9 3             7                   K T 8 6 

  16.
J                   K 6                 Q 9 7 5 4 3         A T 8 2 
T 8 7 4             K J 9 6 5           3 2                 A Q 
5 4 3 2             Q J                 K T 9 6             A 8 7 
J 7 5 2             A Q 9 3             4                   K T 8 6 

  17.
Q J 9 7 5 4 3       K 6                 -                   A T 8 2 
8                   K J 9 6 5           T 7 4 3 2           A Q 
K                   Q J                 T 9 6 5 4 3 2       A 8 7 
7 5 4 2             A Q 9 3             J                   K T 8 6 

  18.
J 7 5 4             K 6                 Q 9 3               A T 8 2 
8 3 2               K J 9 6 5           T 7 4               A Q 
T 9 3               Q J                 K 6 5 4 2           A 8 7 
J 5 2               A Q 9 3             7 4                 K T 8 6 

  19.
J 9 7               K 6                 Q 5 4 3             A T 8 2 
8 7 4               K J 9 6 5           T 3 2               A Q 
K T 9 6 5 3         Q J                 4 2                 A 8 7 
7                   A Q 9 3             J 5 4 2             K T 8 6 

  20.
Q 7 5               K 6                 J 9 4 3             A T 8 2 
T 7 3 2             K J 9 6 5           8 4                 A Q 
6 5 4 2             Q J                 K T 9 3             A 8 7 
J 2                 A Q 9 3             7 5 4               K T 8 6 

  21.
J 5 3               K 6                 Q 9 7 4             A T 8 2 
T 4 3               K J 9 6 5           8 7 2               A Q 
K T 9 4             Q J                 6 5 3 2             A 8 7 
7 4 2               A Q 9 3             J 5                 K T 8 6 

  22.
7 4                 K 6                 Q J 9 5 3           A T 8 2 
T 8 7 3 2           K J 9 6 5           4                   A Q 
T 5 4               Q J                 K 9 6 3 2           A 8 7 
J 5 2               A Q 9 3             7 4                 K T 8 6 

  23.
Q J 7 5 4 3         K 6                 9                   A T 8 2 
T 8 7 4 2           K J 9 6 5           3                   A Q 
6 2                 Q J                 K T 9 5 4 3         A 8 7 
-                   A Q 9 3             J 7 5 4 2           K T 8 6 

  24.
9 7 5               K 6                 Q J 4 3             A T 8 2 
T 8 4 3             K J 9 6 5           7 2                 A Q 
K 9 6 3             Q J                 T 5 4 2             A 8 7 
7 5                 A Q 9 3             J 4 2               K T 8 6 

  25.
Q 5 3               K 6                 J 9 7 4             A T 8 2 
T 8 4               K J 9 6 5           7 3 2               A Q 
K T 4 3 2           Q J                 9 6 5               A 8 7 
5 2                 A Q 9 3             J 7 4               K T 8 6 

  26.
Q 7                 K 6                 J 9 5 4 3           A T 8 2 
T 8 4 3             K J 9 6 5           7 2                 A Q 
K T 9 6 5 2         Q J                 4 3                 A 8 7 
5                   A Q 9 3             J 7 4 2             K T 8 6 

  27.
Q 9 7 5 4           K 6                 J 3                 A T 8 2 
7                   K J 9 6 5           T 8 4 3 2           A Q 
K 9 6 5 4 3         Q J                 T 2                 A 8 7 
4                   A Q 9 3             J 7 5 2             K T 8 6 

  28.
4                   K 6                 Q J 9 7 5 3         A T 8 2 
7 4 3 2             K J 9 6 5           T 8                 A Q 
K T 9 4 3 2         Q J                 6 5                 A 8 7 
J 2                 A Q 9 3             7 5 4               K T 8 6 

  29.
5 4                 K 6                 Q J 9 7 3           A T 8 2 
8 3 2               K J 9 6 5           T 7 4               A Q 
K 5 4 3             Q J                 T 9 6 2             A 8 7 
J 7 5 4             A Q 9 3             2                   K T 8 6 

  30.
J 7 4               K 6                 Q 9 5 3             A T 8 2 
T 8 7 4 2           K J 9 6 5           3                   A Q 
9 3 2               Q J                 K T 6 5 4           A 8 7 
5 2                 A Q 9 3             J 7 4               K T 8 6 

  31.
Q J 7 4             K 6                 9 5 3               A T 8 2 
7 3 2               K J 9 6 5           T 8 4               A Q 
T 6 4 3 2           Q J                 K 9 5               A 8 7 
4                   A Q 9 3             J 7 5 2             K T 8 6 

  32.
7 4 3               K 6                 Q J 9 5             A T 8 2 
T 8 7               K J 9 6 5           4 3 2               A Q 
T 6 3 2             Q J                 K 9 5 4             A 8 7 
J 7 4               A Q 9 3             5 2                 K T 8 6 

  33.
Q 7 4 3             K 6                 J 9 5               A T 8 2 
T 8 4 2             K J 9 6 5           7 3                 A Q 
K 4 2               Q J                 T 9 6 5 3           A 8 7 
J 4                 A Q 9 3             7 5 2               K T 8 6 

  34.
Q 9 4 3             K 6                 J 7 5               A T 8 2 
T 7 2               K J 9 6 5           8 4 3               A Q 
T 9 6               Q J                 K 5 4 3 2           A 8 7 
7 4 2               A Q 9 3             J 5                 K T 8 6 

  35.
Q J 9 7 4           K 6                 5 3                 A T 8 2 
3                   K J 9 6 5           T 8 7 4 2           A Q 
K T 6 5             Q J                 9 4 3 2             A 8 7 
J 7 4               A Q 9 3             5 2                 K T 8 6 

  36.
7                   K 6                 Q J 9 5 4 3         A T 8 2 
T 7 4 3 2           K J 9 6 5           8                   A Q 
K T 5 4             Q J                 9 6 3 2             A 8 7 
J 7 4               A Q 9 3             5 2                 K T 8 6 

  37.
Q 7 5               K 6                 J 9 4 3             A T 8 2 
T 8 7 4 2           K J 9 6 5           3                   A Q 
K 9 5 3             Q J                 T 6 4 2             A 8 7 
J                   A Q 9 3             7 5 4 2             K T 8 6 

  38.
9 4 3               K 6                 Q J 7 5             A T 8 2 
T 7 4 3             K J 9 6 5           8 2                 A Q 
K 9 6 5 2           Q J                 T 4 3               A 8 7 
7                   A Q 9 3             J 5 4 2             K T 8 6 

  39.
7 5 4 3             K 6                 Q J 9               A T 8 2 
4 3                 K J 9 6 5           T 8 7 2             A Q 
K 6 5 4 2           Q J                 T 9 3               A 8 7 
7 4                 A Q 9 3             J 5 2               K T 8 6 

  40.
Q J                 K 6                 9 7 5 4 3           A T 8 2 
7 3                 K J 9 6 5           T 8 4 2             A Q 
K 9 6 5 4 2         Q J                 T 3                 A 8 7 
7 5 2               A Q 9 3             J 4                 K T 8 6 

  41.
Q J 5 3             K 6                 9 7 4               A T 8 2 
T 4 2               K J 9 6 5           8 7 3               A Q 
T 6 4 3             Q J                 K 9 5 2             A 8 7 
7 4                 A Q 9 3             J 5 2               K T 8 6 

  42.
J 5 4 3             K 6                 Q 9 7               A T 8 2 
T 8 7 3             K J 9 6 5           4 2                 A Q 
9 4                 Q J                 K T 6 5 3 2         A 8 7 
7 5 4               A Q 9 3             J 2                 K T 8 6 

  43.
Q 5 4 3             K 6                 J 9 7               A T 8 2 
T 4 2               K J 9 6 5           8 7 3               A Q 
K 6 2               Q J                 T 9 5 4 3           A 8 7 
J 7 2               A Q 9 3             5 4                 K T 8 6 

  44.
Q J 9 4             K 6                 7 5 3               A T 8 2 
T 7                 K J 9 6 5           8 4 3 2             A Q 
K 9 6 5 4 2         Q J                 T 3                 A 8 7 
2                   A Q 9 3             J 7 5 4             K T 8 6 

  45.
J 5 4               K 6                 Q 9 7 3             A T 8 2 
8 7 4 2             K J 9 6 5           T 3                 A Q 
9 6 5 3             Q J                 K T 4 2             A 8 7 
J 5                 A Q 9 3             7 4 2               K T 8 6 

  46.
Q J 9 3             K 6                 7 5 4               A T 8 2 
4 3                 K J 9 6 5           T 8 7 2             A Q 
T 9 6 4 3           Q J                 K 5 2               A 8 7 
4 2                 A Q 9 3             J 7 5               K T 8 6 

  47.
Q 9 7 5             K 6                 J 4 3               A T 8 2 
T 8 4               K J 9 6 5           7 3 2               A Q 
6 3 2               Q J                 K T 9 5 4           A 8 7 
J 4 2               A Q 9 3             7 5                 K T 8 6 

  48.
Q J 7 4             K 6                 9 5 3               A T 8 2 
8 7 2               K J 9 6 5           T 4 3               A Q 
5 4 2               Q J                 K T 9 6 3           A 8 7 
J 7 5               A Q 9 3             4 2                 K T 8 6 

  49.
Q J 9               K 6                 7 5 4 3             A T 8 2 
8 4                 K J 9 6 5           T 7 3 2             A Q 
K T 9 6 3           Q J                 5 4 2               A 8 7 
7 5 4               A Q 9 3             J 2                 K T 8 6 

  50.
9 5 4 3             K 6                 Q J 7               A T 8 2 
T 8 7               K J 9 6 5           4 3 2               A Q 
T 4                 Q J                 K 9 6 5 3 2         A 8 7 
J 5 4 2             A Q 9 3             7                   K T 8 6 

  51.
J 7 5 4 3           K 6                 Q 9                 A T 8 2 
8 4 3               K J 9 6 5           T 7 2               A Q 
9 5 2               Q J                 K T 6 4 3           A 8 7 
5 4                 A Q 9 3             J 7 2               K T 8 6 

  52.
9 7 5               K 6                 Q J 4 3             A T 8 2 
T 2                 K J 9 6 5           8 7 4 3             A Q 
K 9 6 4 3 2         Q J                 T 5                 A 8 7 
7 2                 A Q 9 3             J 5 4               K T 8 6 

  53.
9 7 5               K 6                 Q J 4 3             A T 8 2 
7 3 2               K J 9 6 5           T 8 4               A Q 
9 6 3 2             Q J                 K T 5 4             A 8 7 
J 5 4               A Q 9 3             7 2                 K T 8 6 

  54.
7 5 4 3             K 6                 Q J 9               A T 8 2 
3 2                 K J 9 6 5           T 8 7 4             A Q 
K T 9 6 3           Q J                 5 4 2               A 8 7 
J 4                 A Q 9 3             7 5 2               K T 8 6 

  55.
Q J 9 3             K 6                 7 5 4               A T 8 2 
T 4                 K J 9 6 5           8 7 3 2             A Q 
K 6 4               Q J                 T 9 5 3 2           A 8 7 
J 7 5 2             A Q 9 3             4                   K T 8 6 

  56.
J 9 7 4 3           K 6                 Q 5                 A T 8 2 
T 7 4 2             K J 9 6 5           8 3                 A Q 
5 4 3 2             Q J                 K T 9 6             A 8 7 
-                   A Q 9 3             J 7 5 4 2           K T 8 6 

  57.
J 7 4 3             K 6                 Q 9 5               A T 8 2 
8 4 3 2             K J 9 6 5           T 7                 A Q 
K 2                 Q J                 T 9 6 5 4 3         A 8 7 
J 5 2               A Q 9 3             7 4                 K T 8 6 

  58.
Q 9 7 4 3           K 6                 J 5                 A T 8 2 
3                   K J 9 6 5           T 8 7 4 2           A Q 
K T 6 5 4           Q J                 9 3 2               A 8 7 
7 5                 A Q 9 3             J 4 2               K T 8 6 

  59.
J 9 4               K 6                 Q 7 5 3             A T 8 2 
8 7 3               K J 9 6 5           T 4 2               A Q 
9 6 5 3             Q J                 K T 4 2             A 8 7 
5 4 2               A Q 9 3             J 7                 K T 8 6 

  60.
J 9 7               K 6                 Q 5 4 3             A T 8 2 
T 8 7 4 3           K J 9 6 5           2                   A Q 
4 3                 Q J                 K T 9 6 5 2         A 8 7 
J 7 4               A Q 9 3             5 2                 K T 8 6 

  61.
9 7 4 3             K 6                 Q J 5               A T 8 2 
T 7                 K J 9 6 5           8 4 3 2             A Q 
9 5 3 2             Q J                 K T 6 4             A 8 7 
J 7 4               A Q 9 3             5 2                 K T 8 6 

  62.
Q J 4               K 6                 9 7 5 3             A T 8 2 
8                   K J 9 6 5           T 7 4 3 2           A Q 
T 9 5 3 2           Q J                 K 6 4               A 8 7 
J 5 4 2             A Q 9 3             7                   K T 8 6 

  63.
7 4                 K 6                 Q J 9 5 3           A T 8 2 
T 3 2               K J 9 6 5           8 7 4               A Q 
9 6 5 4 3 2         Q J                 K T                 A 8 7 
7 4                 A Q 9 3             J 5 2               K T 8 6 

  64.
Q J 9 7 4           K 6                 5 3                 A T 8 2 
7                   K J 9 6 5           T 8 4 3 2           A Q 
9 6 3 2             Q J                 K T 5 4             A 8 7 
5 4 2               A Q 9 3             J 7                 K T 8 6 

  65.
9 5                 K 6                 Q J 7 4 3           A T 8 2 
8 3 2               K J 9 6 5           T 7 4               A Q 
T 9 3 2             Q J                 K 6 5 4             A 8 7 
J 5 4 2             A Q 9 3             7                   K T 8 6 

  66.
9 7 5 3             K 6                 Q J 4               A T 8 2 
4 2                 K J 9 6 5           T 8 7 3             A Q 
K T 5 3 2           Q J                 9 6 4               A 8 7 
J 2                 A Q 9 3             7 5 4               K T 8 6 

  67.
Q J 9 7 3           K 6                 5 4                 A T 8 2 
8 4 3               K J 9 6 5           T 7 2               A Q 
K 9 4 2             Q J                 T 6 5 3             A 8 7 
7                   A Q 9 3             J 5 4 2             K T 8 6 

  68.
9 5 3               K 6                 Q J 7 4             A T 8 2 
T 8 7 3             K J 9 6 5           4 2                 A Q 
K T 9 2             Q J                 6 5 4 3             A 8 7 
J 2                 A Q 9 3             7 5 4               K T 8 6 

  69.
Q 7 5 4             K 6                 J 9 3               A T 8 2 
T 8 4 2             K J 9 6 5           7 3                 A Q 
T 6 4               Q J                 K 9 5 3 2           A 8 7 
4 2                 A Q 9 3             J 7 5               K T 8 6 

  70.
J 7 5               K 6                 Q 9 4 3             A T 8 2 
7 4 3               K J 9 6 5           T 8 2               A Q 
K T 5 4 3           Q J                 9 6 2               A 8 7 
J 2                 A Q 9 3             7 5 4               K T 8 6 

  71.
J 9 5 4 3           K 6                 Q 7                 A T 8 2 
T 2                 K J 9 6 5           8 7 4 3             A Q 
9 5 2               Q J                 K T 6 4 3           A 8 7 
J 5 2               A Q 9 3             7 4                 K T 8 6 

  72.
J 9 5 3             K 6                 Q 7 4               A T 8 2 
T 7 3               K J 9 6 5           8 4 2               A Q 
T 9 5               Q J                 K 6 4 3 2           A 8 7 
J 7 5               A Q 9 3             4 2                 K T 8 6 

  73.
J 9                 K 6                 Q 7 5 4 3           A T 8 2 
T 7 3               K J 9 6 5           8 4 2               A Q 
K T 9 5 3           Q J                 6 4 2               A 8 7 
7 5 4               A Q 9 3             J 2                 K T 8 6 

  74.
9 5 3               K 6                 Q J 7 4             A T 8 2 
T 8 7 4 2           K J 9 6 5           3                   A Q 
6 3                 Q J                 K T 9 5 4 2         A 8 7 
J 5 4               A Q 9 3             7 2                 K T 8 6 

  75.
Q J 7 5             K 6                 9 4 3               A T 8 2 
4 3                 K J 9 6 5           T 8 7 2             A Q 
6 5 4 3             Q J                 K T 9 2             A 8 7 
7 4 2               A Q 9 3             J 5                 K T 8 6 

  76.
J 7 5 3             K 6                 Q 9 4               A T 8 2 
T 3 2               K J 9 6 5           8 7 4               A Q 
K 4 3               Q J                 T 9 6 5 2           A 8 7 
J 5 4               A Q 9 3             7 2                 K T 8 6 

  77.
Q 3                 K 6                 J 9 7 5 4           A T 8 2 
7 4                 K J 9 6 5           T 8 3 2             A Q 
T 9 5 4 3 2         Q J                 K 6                 A 8 7 
J 7 4               A Q 9 3             5 2                 K T 8 6 

  78.
Q 9 4 3             K 6                 J 7 5               A T 8 2 
8 3 2               K J 9 6 5           T 7 4               A Q 
K 9 6 5 2           Q J                 T 4 3               A 8 7 
J                   A Q 9 3             7 5 4 2             K T 8 6 

  79.
Q 9 7 3             K 6                 J 5 4               A T 8 2 
T 7 4 3             K J 9 6 5           8 2                 A Q 
9                   Q J                 K T 6 5 4 3 2       A 8 7 
J 7 5 2             A Q 9 3             4                   K T 8 6 

  80.
Q J 5 4 3           K 6                 9 7                 A T 8 2 
8 3                 K J 9 6 5           T 7 4 2             A Q 
K T 6 5 4           Q J                 9 3 2               A 8 7 
5                   A Q 9 3             J 7 4 2             K T 8 6 

  81.
Q J 5 4             K 6                 9 7 3               A T 8 2 
T 3 2               K J 9 6 5           8 7 4               A Q 
K 6 5 2             Q J                 T 9 4 3             A 8 7 
J 2                 A Q 9 3             7 5 4               K T 8 6 

  82.
Q J 9 7 5 4         K 6                 3                   A T 8 2 
T 3                 K J 9 6 5           8 7 4 2             A Q 
K T 9 4             Q J                 6 5 3 2             A 8 7 
4                   A Q 9 3             J 7 5 2             K T 8 6 

  83.
Q 9 7 5 4 3         K 6                 J                   A T 8 2 
T 3                 K J 9 6 5           8 7 4 2             A Q 
T 3                 Q J                 K 9 6 5 4 2         A 8 7 
J 4 2               A Q 9 3             7 5                 K T 8 6 

  84.
Q 9 5 4             K 6                 J 7 3               A T 8 2 
7 3 2               K J 9 6 5           T 8 4               A Q 
K T 6 4             Q J                 9 5 3 2             A 8 7 
4 2                 A Q 9 3             J 7 5               K T 8 6 

  85.
J 7 3               K 6                 Q 9 5 4             A T 8 2 
T 7 4 2             K J 9 6 5           8 3                 A Q 
5 4 2               Q J                 K T 9 6 3           A 8 7 
7 5 2               A Q 9 3             J 4                 K T 8 6 

  86.
Q J 5               K 6                 9 7 4 3             A T 8 2 
T 7 4               K J 9 6 5           8 3 2               A Q 
K 9 6 5 2           Q J                 T 4 3               A 8 7 
J 7                 A Q 9 3             5 4 2               K T 8 6 

  87.
9 7 5 4 3           K 6                 Q J                 A T 8 2 
7                   K J 9 6 5           T 8 4 3 2           A Q 
K 9 5 4 2           Q J                 T 6 3               A 8 7 
J 5                 A Q 9 3             7 4 2               K T 8 6 

  88.
Q 5                 K 6                 J 9 7 4 3           A T 8 2 
8 4 3 2             K J 9 6 5           T 7                 A Q 
K 9 4               Q J                 T 6 5 3 2           A 8 7 
7 5 4 2             A Q 9 3             J                   K T 8 6 

  89.
9 7 5               K 6                 Q J 4 3             A T 8 2 
T 8 4 2             K J 9 6 5           7 3                 A Q 
9 6 3               Q J                 K T 5 4 2           A 8 7 
J 5 2               A Q 9 3             7 4                 K T 8 6 

  90.
9 5 3               K 6                 Q J 7 4             A T 8 2 
T 8                 K J 9 6 5           7 4 3 2             A Q 
K T 9 6 3 2         Q J                 5 4                 A 8 7 
5 4                 A Q 9 3             J 7 2               K T 8 6 

  91.
J 9 5 4             K 6                 Q 7 3               A T 8 2 
8 7 4               K J 9 6 5           T 3 2               A Q 
K 3 2               Q J                 T 9 6 5 4           A 8 7 
7 4 2               A Q 9 3             J 5                 K T 8 6 

  92.
J 9 7 5 3           K 6                 Q 4                 A T 8 2 
T 8 7 3             K J 9 6 5           4 2                 A Q 
9 4                 Q J                 K T 6 5 3 2         A 8 7 
7 2                 A Q 9 3             J 5 4               K T 8 6 

  93.
J 9 5 3             K 6                 Q 7 4               A T 8 2 
T 8 2               K J 9 6 5           7 4 3               A Q 
T 9 4 2             Q J                 K 6 5 3             A 8 7 
5 4                 A Q 9 3             J 7 2               K T 8 6 

  94.
4 3                 K 6                 Q J 9 7 5           A T 8 2 
T 8 7 3             K J 9 6 5           4 2                 A Q 
9 6 5 4             Q J                 K T 3 2             A 8 7 
J 5 4               A Q 9 3             7 2                 K T 8 6 

  95.
J 7 3               K 6                 Q 9 5 4             A T 8 2 
T 8 4               K J 9 6 5           7 3 2               A Q 
K 3 2               Q J                 T 9 6 5 4           A 8 7 
J 5 4 2             A Q 9 3             7                   K T 8 6 

  96.
Q J 9 5             K 6                 7 4 3               A T 8 2 
T 8 4               K J 9 6 5           7 3 2               A Q 
K 6 4 3             Q J                 T 9 5 2             A 8 7 
7 2                 A Q 9 3             J 5 4               K T 8 6 

  97.
Q 9 7 5             K 6                 J 4 3               A T 8 2 
7 2                 K J 9 6 5           T 8 4 3             A Q 
T 5 2               Q J                 K 9 6 4 3           A 8 7 
J 5 4 2             A Q 9 3             7                   K T 8 6 

  98.
Q J 9 5 4           K 6                 7 3                 A T 8 2 
7 3                 K J 9 6 5           T 8 4 2             A Q 
K 6 4 2             Q J                 T 9 5 3             A 8 7 
J 5                 A Q 9 3             7 4 2               K T 8 6 

  99.
Q J 7 5 3           K 6                 9 4                 A T 8 2 
8 7 4 3 2           K J 9 6 5           T                   A Q 
T 9 6               Q J                 K 5 4 3 2           A 8 7 
-                   A Q 9 3             J 7 5 4 2           K T 8 6 

 100.
Q 7 3               K 6                 J 9 5 4             A T 8 2 
8 7 4               K J 9 6 5           T 3 2               A Q 
T 9 6 5 4 2         Q J                 K 3                 A 8 7 
2                   A Q 9 3             J 7 5 4             K T 8 6 

Generated 100 hands
Produced 100 hands
Initial random seed 1729400725
Time needed    0.001 sec

The 30 of those where either North or South has 0-1 clubs:

Spoiler

   2.
9 3                 K 6                 Q J 7 5 4           A T 8 2 
T 8 7               K J 9 6 5           4 3 2               A Q 
K T 9 3             Q J                 6 5 4 2             A 8 7 
J 7 5 4             A Q 9 3             2                   K T 8 6 

   6.
4 3                 K 6                 Q J 9 7 5           A T 8 2 
8 7 4 3             K J 9 6 5           T 2                 A Q 
K T 9 6 5 3 2       Q J                 4                   A 8 7 
-                   A Q 9 3             J 7 5 4 2           K T 8 6 

   8.
Q 3                 K 6                 J 9 7 5 4           A T 8 2 
8 4 2               K J 9 6 5           T 7 3               A Q 
K 9 6 3             Q J                 T 5 4 2             A 8 7 
J 7 5 4             A Q 9 3             2                   K T 8 6 

  15.
7 4                 K 6                 Q J 9 5 3           A T 8 2 
T 4 3 2             K J 9 6 5           8 7                 A Q 
9 5 2               Q J                 K T 6 4 3           A 8 7 
J 5 4 2             A Q 9 3             7                   K T 8 6 

  16.
J                   K 6                 Q 9 7 5 4 3         A T 8 2 
T 8 7 4             K J 9 6 5           3 2                 A Q 
5 4 3 2             Q J                 K T 9 6             A 8 7 
J 7 5 2             A Q 9 3             4                   K T 8 6 

  17.
Q J 9 7 5 4 3       K 6                 -                   A T 8 2 
8                   K J 9 6 5           T 7 4 3 2           A Q 
K                   Q J                 T 9 6 5 4 3 2       A 8 7 
7 5 4 2             A Q 9 3             J                   K T 8 6 

  19.
J 9 7               K 6                 Q 5 4 3             A T 8 2 
8 7 4               K J 9 6 5           T 3 2               A Q 
K T 9 6 5 3         Q J                 4 2                 A 8 7 
7                   A Q 9 3             J 5 4 2             K T 8 6 

  23.
Q J 7 5 4 3         K 6                 9                   A T 8 2 
T 8 7 4 2           K J 9 6 5           3                   A Q 
6 2                 Q J                 K T 9 5 4 3         A 8 7 
-                   A Q 9 3             J 7 5 4 2           K T 8 6 

  26.
Q 7                 K 6                 J 9 5 4 3           A T 8 2 
T 8 4 3             K J 9 6 5           7 2                 A Q 
K T 9 6 5 2         Q J                 4 3                 A 8 7 
5                   A Q 9 3             J 7 4 2             K T 8 6 

  27.
Q 9 7 5 4           K 6                 J 3                 A T 8 2 
7                   K J 9 6 5           T 8 4 3 2           A Q 
K 9 6 5 4 3         Q J                 T 2                 A 8 7 
4                   A Q 9 3             J 7 5 2             K T 8 6 

  29.
5 4                 K 6                 Q J 9 7 3           A T 8 2 
8 3 2               K J 9 6 5           T 7 4               A Q 
K 5 4 3             Q J                 T 9 6 2             A 8 7 
J 7 5 4             A Q 9 3             2                   K T 8 6 

  31.
Q J 7 4             K 6                 9 5 3               A T 8 2 
7 3 2               K J 9 6 5           T 8 4               A Q 
T 6 4 3 2           Q J                 K 9 5               A 8 7 
4                   A Q 9 3             J 7 5 2             K T 8 6 

  37.
Q 7 5               K 6                 J 9 4 3             A T 8 2 
T 8 7 4 2           K J 9 6 5           3                   A Q 
K 9 5 3             Q J                 T 6 4 2             A 8 7 
J                   A Q 9 3             7 5 4 2             K T 8 6 

  38.
9 4 3               K 6                 Q J 7 5             A T 8 2 
T 7 4 3             K J 9 6 5           8 2                 A Q 
K 9 6 5 2           Q J                 T 4 3               A 8 7 
7                   A Q 9 3             J 5 4 2             K T 8 6 

  44.
Q J 9 4             K 6                 7 5 3               A T 8 2 
T 7                 K J 9 6 5           8 4 3 2             A Q 
K 9 6 5 4 2         Q J                 T 3                 A 8 7 
2                   A Q 9 3             J 7 5 4             K T 8 6 

  50.
9 5 4 3             K 6                 Q J 7               A T 8 2 
T 8 7               K J 9 6 5           4 3 2               A Q 
T 4                 Q J                 K 9 6 5 3 2         A 8 7 
J 5 4 2             A Q 9 3             7                   K T 8 6 

  55.
Q J 9 3             K 6                 7 5 4               A T 8 2 
T 4                 K J 9 6 5           8 7 3 2             A Q 
K 6 4               Q J                 T 9 5 3 2           A 8 7 
J 7 5 2             A Q 9 3             4                   K T 8 6 

  56.
J 9 7 4 3           K 6                 Q 5                 A T 8 2 
T 7 4 2             K J 9 6 5           8 3                 A Q 
5 4 3 2             Q J                 K T 9 6             A 8 7 
-                   A Q 9 3             J 7 5 4 2           K T 8 6 

  62.
Q J 4               K 6                 9 7 5 3             A T 8 2 
8                   K J 9 6 5           T 7 4 3 2           A Q 
T 9 5 3 2           Q J                 K 6 4               A 8 7 
J 5 4 2             A Q 9 3             7                   K T 8 6  

  65.
9 5                 K 6                 Q J 7 4 3           A T 8 2 
8 3 2               K J 9 6 5           T 7 4               A Q 
T 9 3 2             Q J                 K 6 5 4             A 8 7 
J 5 4 2             A Q 9 3             7                   K T 8 6 

  67.
Q J 9 7 3           K 6                 5 4                 A T 8 2 
8 4 3               K J 9 6 5           T 7 2               A Q 
K 9 4 2             Q J                 T 6 5 3             A 8 7 
7                   A Q 9 3             J 5 4 2             K T 8 6 

  78.
Q 9 4 3             K 6                 J 7 5               A T 8 2 
8 3 2               K J 9 6 5           T 7 4               A Q 
K 9 6 5 2           Q J                 T 4 3               A 8 7 
J                   A Q 9 3             7 5 4 2             K T 8 6 

  79.
Q 9 7 3             K 6                 J 5 4               A T 8 2 
T 7 4 3             K J 9 6 5           8 2                 A Q 
9                   Q J                 K T 6 5 4 3 2       A 8 7 
J 7 5 2             A Q 9 3             4                   K T 8 6 

  80.
Q J 5 4 3           K 6                 9 7                 A T 8 2 
8 3                 K J 9 6 5           T 7 4 2             A Q 
K T 6 5 4           Q J                 9 3 2               A 8 7 
5                   A Q 9 3             J 7 4 2             K T 8 6 

  82.
Q J 9 7 5 4         K 6                 3                   A T 8 2 
T 3                 K J 9 6 5           8 7 4 2             A Q 
K T 9 4             Q J                 6 5 3 2             A 8 7 
4                   A Q 9 3             J 7 5 2             K T 8 6 

  88.
Q 5                 K 6                 J 9 7 4 3           A T 8 2 
8 4 3 2             K J 9 6 5           T 7                 A Q 
K 9 4               Q J                 T 6 5 3 2           A 8 7 
7 5 4 2             A Q 9 3             J                   K T 8 6 

  95.
J 7 3               K 6                 Q 9 5 4             A T 8 2 
T 8 4               K J 9 6 5           7 3 2               A Q 
K 3 2               Q J                 T 9 6 5 4           A 8 7 
J 5 4 2             A Q 9 3             7                   K T 8 6 

  97.
Q 9 7 5             K 6                 J 4 3               A T 8 2 
7 2                 K J 9 6 5           T 8 4 3             A Q 
T 5 2               Q J                 K 9 6 4 3           A 8 7 
J 5 4 2             A Q 9 3             7                   K T 8 6 

  99.
Q J 7 5 3           K 6                 9 4                 A T 8 2 
8 7 4 3 2           K J 9 6 5           T                   A Q 
T 9 6               Q J                 K 5 4 3 2           A 8 7 
-                   A Q 9 3             J 7 5 4 2           K T 8 6 

 100.
Q 7 3               K 6                 J 9 5 4             A T 8 2 
8 7 4               K J 9 6 5           T 3 2               A Q 
T 9 6 5 4 2         Q J                 K 3                 A 8 7 
2                   A Q 9 3             J 7 5 4             K T 8 6 

The 16 deals where North has 0-1 clubs:

Spoiler

   6.
4 3                 K 6                 Q J 9 7 5           A T 8 2 
8 7 4 3             K J 9 6 5           T 2                 A Q 
K T 9 6 5 3 2       Q J                 4                   A 8 7 
-                   A Q 9 3             J 7 5 4 2           K T 8 6 

  19.
J 9 7               K 6                 Q 5 4 3             A T 8 2 
8 7 4               K J 9 6 5           T 3 2               A Q 
K T 9 6 5 3         Q J                 4 2                 A 8 7 
7                   A Q 9 3             J 5 4 2             K T 8 6 

  23.
Q J 7 5 4 3         K 6                 9                   A T 8 2 
T 8 7 4 2           K J 9 6 5           3                   A Q 
6 2                 Q J                 K T 9 5 4 3         A 8 7 
-                   A Q 9 3             J 7 5 4 2           K T 8 6 

  26.
Q 7                 K 6                 J 9 5 4 3           A T 8 2 
T 8 4 3             K J 9 6 5           7 2                 A Q 
K T 9 6 5 2         Q J                 4 3                 A 8 7 
5                   A Q 9 3             J 7 4 2             K T 8 6 

  27.
Q 9 7 5 4           K 6                 J 3                 A T 8 2 
7                   K J 9 6 5           T 8 4 3 2           A Q 
K 9 6 5 4 3         Q J                 T 2                 A 8 7 
4                   A Q 9 3             J 7 5 2             K T 8 6 

  31.
Q J 7 4             K 6                 9 5 3               A T 8 2 
7 3 2               K J 9 6 5           T 8 4               A Q 
T 6 4 3 2           Q J                 K 9 5               A 8 7 
4                   A Q 9 3             J 7 5 2             K T 8 6 

  37.
Q 7 5               K 6                 J 9 4 3             A T 8 2 
T 8 7 4 2           K J 9 6 5           3                   A Q 
K 9 5 3             Q J                 T 6 4 2             A 8 7 
J                   A Q 9 3             7 5 4 2             K T 8 6 

  38.
9 4 3               K 6                 Q J 7 5             A T 8 2 
T 7 4 3             K J 9 6 5           8 2                 A Q 
K 9 6 5 2           Q J                 T 4 3               A 8 7 
7                   A Q 9 3             J 5 4 2             K T 8 6 

  44.
Q J 9 4             K 6                 7 5 3               A T 8 2 
T 7                 K J 9 6 5           8 4 3 2             A Q 
K 9 6 5 4 2         Q J                 T 3                 A 8 7 
2                   A Q 9 3             J 7 5 4             K T 8 6 

  56.
J 9 7 4 3           K 6                 Q 5                 A T 8 2 
T 7 4 2             K J 9 6 5           8 3                 A Q 
5 4 3 2             Q J                 K T 9 6             A 8 7 
-                   A Q 9 3             J 7 5 4 2           K T 8 6 

  67.
Q J 9 7 3           K 6                 5 4                 A T 8 2 
8 4 3               K J 9 6 5           T 7 2               A Q 
K 9 4 2             Q J                 T 6 5 3             A 8 7 
7                   A Q 9 3             J 5 4 2             K T 8 6 

  78.
Q 9 4 3             K 6                 J 7 5               A T 8 2 
8 3 2               K J 9 6 5           T 7 4               A Q 
K 9 6 5 2           Q J                 T 4 3               A 8 7 
J                   A Q 9 3             7 5 4 2             K T 8 6 

  80.
Q J 5 4 3           K 6                 9 7                 A T 8 2 
8 3                 K J 9 6 5           T 7 4 2             A Q 
K T 6 5 4           Q J                 9 3 2               A 8 7 
5                   A Q 9 3             J 7 4 2             K T 8 6 

  82.
Q J 9 7 5 4         K 6                 3                   A T 8 2 
T 3                 K J 9 6 5           8 7 4 2             A Q 
K T 9 4             Q J                 6 5 3 2             A 8 7 
4                   A Q 9 3             J 7 5 2             K T 8 6 

  99.
Q J 7 5 3           K 6                 9 4                 A T 8 2 
8 7 4 3 2           K J 9 6 5           T                   A Q 
T 9 6               Q J                 K 5 4 3 2           A 8 7 
-                   A Q 9 3             J 7 5 4 2           K T 8 6 

 100.
Q 7 3               K 6                 J 9 5 4             A T 8 2 
8 7 4               K J 9 6 5           T 3 2               A Q 
T 9 6 5 4 2         Q J                 K 3                 A 8 7 
2                   A Q 9 3             J 7 5 4             K T 8 6 

The 14 deals where South has 0-1 clubs:

Spoiler

   2.
9 3                 K 6                 Q J 7 5 4           A T 8 2 
T 8 7               K J 9 6 5           4 3 2               A Q 
K T 9 3             Q J                 6 5 4 2             A 8 7 
J 7 5 4             A Q 9 3             2                   K T 8 6 

   8.
Q 3                 K 6                 J 9 7 5 4           A T 8 2 
8 4 2               K J 9 6 5           T 7 3               A Q 
K 9 6 3             Q J                 T 5 4 2             A 8 7 
J 7 5 4             A Q 9 3             2                   K T 8 6 

  15.
7 4                 K 6                 Q J 9 5 3           A T 8 2 
T 4 3 2             K J 9 6 5           8 7                 A Q 
9 5 2               Q J                 K T 6 4 3           A 8 7 
J 5 4 2             A Q 9 3             7                   K T 8 6 

  16.
J                   K 6                 Q 9 7 5 4 3         A T 8 2 
T 8 7 4             K J 9 6 5           3 2                 A Q 
5 4 3 2             Q J                 K T 9 6             A 8 7 
J 7 5 2             A Q 9 3             4                   K T 8 6 

  17.
Q J 9 7 5 4 3       K 6                 -                   A T 8 2 
8                   K J 9 6 5           T 7 4 3 2           A Q 
K                   Q J                 T 9 6 5 4 3 2       A 8 7 
7 5 4 2             A Q 9 3             J                   K T 8 6 

  29.
5 4                 K 6                 Q J 9 7 3           A T 8 2 
8 3 2               K J 9 6 5           T 7 4               A Q 
K 5 4 3             Q J                 T 9 6 2             A 8 7 
J 7 5 4             A Q 9 3             2                   K T 8 6 

  50.
9 5 4 3             K 6                 Q J 7               A T 8 2 
T 8 7               K J 9 6 5           4 3 2               A Q 
T 4                 Q J                 K 9 6 5 3 2         A 8 7 
J 5 4 2             A Q 9 3             7                   K T 8 6 

  55.
Q J 9 3             K 6                 7 5 4               A T 8 2 
T 4                 K J 9 6 5           8 7 3 2             A Q 
K 6 4               Q J                 T 9 5 3 2           A 8 7 
J 7 5 2             A Q 9 3             4                   K T 8 6 

  62.
Q J 4               K 6                 9 7 5 3             A T 8 2 
8                   K J 9 6 5           T 7 4 3 2           A Q 
T 9 5 3 2           Q J                 K 6 4               A 8 7 
J 5 4 2             A Q 9 3             7                   K T 8 6  

  65.
9 5                 K 6                 Q J 7 4 3           A T 8 2 
8 3 2               K J 9 6 5           T 7 4               A Q 
T 9 3 2             Q J                 K 6 5 4             A 8 7 
J 5 4 2             A Q 9 3             7                   K T 8 6 

  79.
Q 9 7 3             K 6                 J 5 4               A T 8 2 
T 7 4 3             K J 9 6 5           8 2                 A Q 
9                   Q J                 K T 6 5 4 3 2       A 8 7 
J 7 5 2             A Q 9 3             4                   K T 8 6 

  88.
Q 5                 K 6                 J 9 7 4 3           A T 8 2 
8 4 3 2             K J 9 6 5           T 7                 A Q 
K 9 4               Q J                 T 6 5 3 2           A 8 7 
7 5 4 2             A Q 9 3             J                   K T 8 6 

  95.
J 7 3               K 6                 Q 9 5 4             A T 8 2 
T 8 4               K J 9 6 5           7 3 2               A Q 
K 3 2               Q J                 T 9 6 5 4           A 8 7 
J 5 4 2             A Q 9 3             7                   K T 8 6 

  97.
Q 9 7 5             K 6                 J 4 3               A T 8 2 
7 2                 K J 9 6 5           T 8 4 3             A Q 
T 5 2               Q J                 K 9 6 4 3           A 8 7 
J 5 4 2             A Q 9 3             7                   K T 8 6