Card Combinations

Optimal Play for Various Combinations

Combinations with 6 cards:

Holding Goal Play Works When Success %
AJ9

xxx

2 Tricks Lead toward the 9 and then finesse toward the J. LHO has K10, Q10 or KQ10 37%
AKQ10

xx

4 Tricks Cash A and then lead towards the 10. LHO has the J or RHO has stiff J 50.48%
AK109x

x

4 Tricks Lead toward the 10, covering if LHO plays an honor.  Then cash from the top. LHO has QJxx, QJ, Q9x, or J9x 13.19%

Combinations with 7 cards:

Holding Goal Play Works When Success %
Jxx

AKxx

3 Tricks Cash the A and then play low toward the J. LHO has Q, 33 break, or RHO has stiff Q. 69.22%
A1098

Jxx

3 Tricks Lead low toward the 10, if this finesse loses, repeat by leading the J. LHO has KQ or the K and Q are split. 76%
K10x

Axxx

3 Tricks Lead low towards the 10 twice. LHO has QJ or a 3-3 split. 52.41%
Q1098x

Ax

1 loser Play the Q. 3-3 split with K onside, Kx onside, or Jx doubleton. 58.07%
AJ108xx

x

1 loser Lead low toward the 8. 3-3 or 4-2 split with 9 onside and KQ split or onside. 54.85%

Combinations with 8 cards:

Holding Goal Play Works When Success %
Axx

KQ109x

0 losers Play low to the A.  If LHO shows out, finesse RHO for the J.  Otherwise, low back to K. Always, unless LHO has the J with 4 or 5 cards. 86.74%
AKJ10xx

xx

0 losers Finesse twice for the Q. LHO has the Q and the break is no worse than 4-1 48.04%
Jx

AKxxxx

5 Tricks With 2 entries: Lead low towards the J. Any 3-2, or Q onside with 4 cards or stiff. 81.96%
JX

AKxxxx

5 Tricks With only one entry: Duck the first round. Any 3-2 or stiff Q. 73.48%
J109x

AKxx

4 Tricks Play the A, cross to board, finesse with the J. RHO has Q or LHO has stiff Q. 52.83%

(50.87% for 0 losers)

A10xx

QJxx

4 Tricks Lead low toward the 10, then lead the Q. 3-2 with K onside or 4-1 with stiff K onside. 36.74%
A1076

QJxx

4 Tricks Lead the Q, then the J. 3-2 with K onside, or 4-1 with stiff 9 or 8 offside. 39.56%
xx

KQxxxx

4 Tricks With 1 Entry: Duck one round. Any 3-2 split. 67.83%
AJ98

K432

4 Tricks Cash the K and lead toward the J. LHO has: Qxx, QTxxx, Qxxx, Qx, or Txxx. 41.52%
Kxxx

AQ108

4 Tricks Cash A, if 9 drops, get complete count to figure out if it's stiff 9 or J9xx.   Depends on opponents.
KQJx

xxxx

1 loser Lead towards the K three times. All except 5-0 splits or Axxx offside. 84.77%
AK109xx

xx

1 loser Cash the A and then play low toward the 10. All except 5-0 splits or QJxx offside. 87.61%
Ax

KQ1087x

1 loser Lead the 7, cover any higher card and duck any lower one. Always. 100%
Axxx

KJ98

1 loser Lead the K, then the 9. Any 3-2 or 4-1 split. 96.07%
J98

AK7xx

1 loser Play the A.  If LHO shows out, double finesse RHO, otherwise lead low towards the J. Any except LHO holding 5 cards. 98.04%
Axx

Q987x

1 loser (With known KJ behind the Q): Lead low towards the 9, covering  the 10 if RHO plays it.  Then lead the Q. Exactly KJx behind Q. 26%
xx

AKQ10xx

1 loser Duck the first round. Any except J9xxx offside. 98.04%
Missing KQ 1 loser Always finesse twice. KQ onside or split. 76%
Kxxx

AJ98

3 Tricks Cash the A.  If both opponents follow, lead the 8. Always 100%

Combinations with 9 cards:

Holding Goal Play Works When Success %
J109x

AKxxx

0 losers Play the A, if both opponents follow, play the K. Any 2-2, stiff Q, or Qxxx onside. 57.92%
Missing KQ 0 losers Finesse twice. KQ onside or split. 76%
Missing J 0 losers If AKQ not all in one hand: Play high honor from side with 2 of AKQ. Always 100%
KQ98

Axxxx

0 losers Play the A, double finesse if J10xx onside. All except 4-0 offside. 95.22%
K10xx

AQ8xx

0 losers Guess which side is 4-0.  All except 4-0 the other way. 95.22%
K109x

Q87xx

1 loser Low toward a high honor, then play for 2-2. Any except AJx or AJxx onside, or A or AJx offside. 64.12%
AQ109xx

xxx

1 loser Cash the A and then lead low toward the Q. Any except KJx or KJxx offside. 82.78%
Jxx

AK9xxx

1 loser Lead low toward the J. Always 100%
QJxxx

K9xx

1 loser Lead low towards the Q. Any except 4-0 offside, and then maybe can still make it on an endplay. 95.22%
xxx

QJ98xx

2 losers (No entries): Lead the 8. 2-2 or a stiff high honor. 65.58%
xxx

QJ98xx

2 losers (With Entries): Lead low towards the Q twice. Any except AK10 all offside. 89%