CHIP
MARTEL of Davis, California, is a professor of computer science. When he won
the World Pairs in 1982 at the age of 29 he was the youngest player ever to
have won this event. He also won the
'You
played that hand as if you could see
through
the backs of their cards' is one of the
nicest compliments a bridge player can get. Accurate reconstruction of
the unseen hands is an essential skill for a successful card player.
Unfortunately,
there are often several
constructions
of the unseen hands that seem reasonable.
The ability to come up with the right choice separates winners from losers.
Consider
the following typical defensive dilemma:
|
West
Dealer |
ª |
9 6 3
|
|
|
|
Game
All |
© |
10
7 5 |
|
|
|
|
¨ |
8
4 2 |
|
|
|
|
§ |
9
8 5 2 |
|
|
|
|
|
N |
|
|
ª |
10
8 4 2
|
|
|
ª |
|
© |
A
J 6 |
|
W
E |
© |
|
¨ |
K
7 |
|
|
¨ |
|
§ |
K
J 6 3 |
|
|
§ |
|
|
|
|
S |
|
|
|
|
ª |
|
|
|
|
|
© |
|
|
|
|
|
¨ |
|
|
|
|
|
§ |
|
|
|
W |
N |
E |
S |
1♣ |
Pass |
1♠ |
Dbl |
2♠ |
Pass |
Pass |
3NT |
|
All |
Pass |
|
You
lead the two of spades against 3NT. This goes to the three, king and ace.
Declarer now plays the ace and queen of diamonds with partner playing the ten
and nine, showing a doubleton. Decide what you would play before reading on.
It
may seem that you must guess what to play. If declarer has:
|
|
ª |
A
Q |
|
|
|
|
© |
K
x x |
|
|
|
|
¨ |
A
Q J x x x |
|
|
|
|
§ |
A
Q |
|
|
a
spade continuation will defeat the contract while a club shift will give
declarer his ninth trick.
However,
if partner has the queen of clubs, on many lay-outs you must play a club to
set up your five tricks before declarer drives out the ace of hearts.
All
three hands are consistent with declarer's bidding and play. However, if you
turn your attention to partner's bidding, the answer becomes clear. East
responded One Spade with only a four-card suit. Thus he
cannot
have four hearts to an honour. A South hand
such as:
|
|
ª |
A
Q |
|
|
|
|
© |
K
x x |
|
|
|
|
¨ |
A
Q J x x x |
|
|
|
|
§ |
A
Q |
|
|
(giving
partner Qxxx in hearts) is impossible for declarer. Thus a club shift will
defeat the contract whenever it can be beaten.
This
type of reasoning will often turn an apparent guess into a sure thing. A good
player considers all 52 cards, not just his own and the dummy's.
If the West player had known this tip he would likely have avoided declarer's trap on the next hand:
|
West
Dealer |
ª |
K 9 6 3
|
|
|
|
Love
All |
© |
J
8 7 5 |
|
|
|
|
¨ |
Q
4 2 |
|
|
|
|
§ |
K
2 |
|
|
|
|
|
N |
|
|
ª |
A
10 8
|
|
|
ª |
J
5 2 |
© |
A |
|
W
E |
© |
4
3 |
¨ |
J
10 9 7 5 3 |
|
|
¨ |
K
8 6 |
§ |
A
7 5 |
|
|
§ |
10
8 6 4 3 |
|
|
|
S |
|
|
|
|
ª |
Q
7 4 |
|
|
|
|
© |
K
Q 10 9 6 3 |
|
|
|
|
¨ |
A |
|
|
|
|
§ |
Q
J 9 |
|
|
W |
N |
E |
S |
1♦ |
Pass |
Pass |
2♥ |
Pass |
4♥ |
All |
Pass |
|
|
|
|
West
led the jack of diamonds against South's
Four Hearts and declarer cleverly played dummy's queen! After winning East's
king with the ace (East could
hardly know to duck), declarer
led a spade at trick two. West flew in with
the ace, planning to take a trick in each
suit.
While
a singleton spade and doubleton diamond is consistent with South's bidding
and
play, it leaves East with QJxxx in spades to
go with his king of diamonds. He would surely
not have passed over the One Diamond opening
with this hand, so declarer must have
at least two spades. And if that is the case, ducking the spade at trick two
is clearly correct.
As
a defender, drawing inferences from
your
partner's bidding and play has an added
benefit. While
declarer may make bids or plays
that are surprising, hopefully you know what
to expect from your partner.
DECLARERS
can
also benefit from using all 52 cards in their analyses.
Consider
the following play problem:
|
East
Dealer |
ª |
J 3
|
|
|
|
Game
All |
© |
9
7 5 3 |
|
|
|
|
¨ |
A
J 10 9 3 |
|
|
|
|
§ |
K
Q |
|
|
|
|
|
N |
|
|
ª |
|
|
|
ª |
|
© |
|
|
W
E |
© |
|
¨ |
|
|
|
¨ |
|
§ |
|
|
|
§ |
|
|
|
|
S |
|
|
|
|
ª |
A
Q 10 9 7 |
|
|
|
|
© |
Q
4 |
|
|
|
|
¨ |
K
8 6 2 |
|
|
|
|
§ |
8
5 |
|
|
W |
N |
E |
S |
|
|
1
NT* |
2♠ |
Pass |
4♠ |
All |
Pass |
*15-17
East
wins the jack of hearts lead with the king.
After cashing the ace of hearts (West playing the deuce), East takes the ace
of clubs, West playing another deuce. East now exits with the
six of hearts as West follows with the eight. You
cross to a club and pick up the spades, finding
East with Kxx. How do you play the diamonds to justify your partner's
aggressive bidding?
In
counting East's points, it is clear that he has either the queen of diamonds,
the jack of
clubs,
or both. On this information alone, East is
more likely to hold Qxx in diamonds than a small doubleton. However, let's
turn our attention to West. If East has:
ª |
K
x x |
© |
A
K x |
¨ |
Q
x x |
§ |
A
x x x x |
then
West did not lead a singleton diamond from his virtual Yarborough. This is
unlikely, so you should play for the drop in diamonds.
My
BOLS bridge tip is:
When
analysing a hand,be sure your construction is
consistent
with the bidding and play
of both unseen hands.
If
you follow my tip and make sure that when you construct a possibility for one
hand you also check the fourth you will 'guess' correctly far more often. Soon
your partner and opponents will be complimenting you on your ability to see
through the backs of the cards.