Ok I'm back. So I took out most weak 2 candidates for 3rd seat, together with it having an opening, and the strong NT hand from opener. It came out this:
0.078 <-- 4432
0.097 <-- 4342/3442
0.208
0.305
0.132
0.124
13.506
Generated 2405126 hands
Produced 1000 hands
Initial random seed 1294812425
Time needed 4.725 sec
As you can see, the odds for the balanced 12-14 hand do skeptically reduce from like 20% to 17,5%.
ZA CODE was
produce 1000
dealer south
predeal north SK2, H2, DQ432, CA98732
ab1d = hcp(south)>10 and hcp(south)<21 and spades(south)<5 and hearts(south)<5
and diamonds(south)>2
int = hcp(west)>6 and clubs(west)>4 and hcp(west, clubs)>4 and
spades(west)<5 and hearts(west)<5
n1st = not(hcp(south)>14 and hcp(south)<18 and
shape(south, any 4333 + any 4432 + any 5332))
nwk2s= not(spades(east)>5 and hcp(east, spades)>1)
nwk2h= not(hearts(east)>5 and hcp(east, hearts)>1)
nabe = not(hcp(east)>9)
condition ab1d and int and n1st and nwk2s and nwk2h and nabe
action
average(shape(south, 4432)),
average(shape(south, xx42)),
average(shape(south, xx51)),
average(shape(south, 4441)),
average(shape(south, 4450)),
average(shape(south, xx6x)),
average(hcp(south))
and if you wanna test whether some of the east hands match your weak 2 requirements, plug in instead
produce 10
dealer south
predeal north SK2, H2, DQ432, CA98732
ab1d = hcp(south)>10 and hcp(south)<21 and spades(south)<5 and hearts(south)<5
and diamonds(south)>2
int = hcp(west)>6 and clubs(west)>4 and hcp(west, clubs)>4 and
spades(west)<5 and hearts(west)<5
n1st = not(hcp(south)>14 and hcp(south)<18 and
shape(south, any 4333 + any 4432 + any 5332))
nwk2s= not(spades(east)>5 and hcp(east, spades)>1)
nwk2h= not(hearts(east)>5 and hcp(east, hearts)>1)
nabe = not(hcp(east)>9)
condition ab1d and int and n1st and nwk2s and nwk2h and nabe
action
average(shape(south, 4432)),
average(shape(south, xx42)),
average(shape(south, xx51)),
average(shape(south, 4441)),
average(shape(south, 4450)),
average(shape(south, xx6x)),
average(hcp(south)),
printall
here are some examples... perhaps I should remove some East hands as they are 3rd hand 1-of-a-suit openers? Or maybe the lolish hand 3? Or some overcalls worth a take out dbl instead? Well, I leave it to thee
1.
K 2 Q 8 5 3 A J T 6 9 7 4
2 Q 9 8 4 3 K J T 7 A 6 5
Q 4 3 2 9 8 7 A K J 6 5 T
A 9 8 7 3 2 5 - K Q J T 6 4
2.
K 2 A Q J 9 5 T 7 6 4 8 3
2 J 9 8 7 5 3 A K 6 4 Q T
Q 4 3 2 7 K J 8 6 A T 9 5
A 9 8 7 3 2 6 T K Q J 5 4
3.
K 2 Q 7 4 A J 6 5 T 9 8 3
2 Q T 5 3 K 9 8 4 A J 7 6
Q 4 3 2 K J T 9 7 6 A 8 5 -
A 9 8 7 3 2 - J 5 K Q T 6 4
4.
K 2 Q 8 6 5 4 9 7 3 A J T
2 9 8 6 5 3 A Q J T K 7 4
Q 4 3 2 K T 8 A J 9 5 7 6
A 9 8 7 3 2 - 6 5 K Q J T 4
5.
K 2 T 9 5 4 Q 8 7 3 A J 6
2 Q 5 4 3 K 9 7 6 A J T 8
Q 4 3 2 J T 9 6 A K 8 5 7
A 9 8 7 3 2 T 5 K Q J 6 4
6.
K 2 7 6 4 A J 8 5 Q T 9 3
2 K J 6 4 3 A Q 9 7 T 8 5
Q 4 3 2 K 9 8 5 A J T 7 6 -
A 9 8 7 3 2 J - K Q T 6 5 4
7.
K 2 Q 8 5 4 3 T 7 6 A J 9
2 K J 8 5 3 A Q 9 7 T 6 4
Q 4 3 2 J 7 A K T 8 6 9 5
A 9 8 7 3 2 4 6 K Q J T 5
8.
K 2 J 8 7 4 A T 6 5 Q 9 3
2 A 9 8 6 4 Q J 7 K T 5 3
Q 4 3 2 9 7 5 A K J T 6 8
A 9 8 7 3 2 J T K Q 6 5 4
9.
K 2 Q 8 6 4 A T 7 5 J 9 3
2 Q J 9 3 A T 6 5 K 8 7 4
Q 4 3 2 K T 8 6 A J 9 5 7
A 9 8 7 3 2 4 5 K Q J T 6
10.
K 2 9 8 6 5 A Q T 4 J 7 3
2 J T 9 8 6 4 3 A K Q 7 5
Q 4 3 2 6 J T 8 5 A K 9 7
A 9 8 7 3 2 J 6 K Q T 5 4