PERFECT BRIDGE HAND
A perfect bridge hand is defined as a holding that
will produce 13 tricks in No Trump and is not determined by the opening lead or the
composition of the other three hands. This definition excludes a holding of all 13
cards of one particular suit, since a lead in another suit would defeat the No Trump
contract, and therefore does not qualify as a perfect bridge hand. The number of
perfect bridge hands that qualify for the definition are as follows, and which have
been mathematically determined.
| Hand Pattern |
|
|
|
|
|
|
|
# of Possible Hands |
| AKQJxxxxx |
|
AK |
|
A |
|
A |
|
1512 |
| AKQJ10xxx |
|
AKQ |
|
A |
|
A |
|
672 |
| AKQJ10xxx |
|
AK |
|
AK |
|
A |
|
672 |
| AKQxxxxxxx |
|
A |
|
A |
|
A |
|
480 |
| AKQJ109x |
|
AKQ |
|
AK |
|
A |
|
168 |
| AKQJ109x |
|
AKQJ |
|
A |
|
A |
|
84 |
| AKQJ109x |
|
AK |
|
AK |
|
AK |
|
28 |
| AKQJ109 |
|
AKQJ |
|
AK |
|
A |
|
24 |
| AKQJ10 |
|
AKQJ |
|
AKQ |
|
A |
|
24 |
| AKQJ109 |
|
AKQJ10 |
|
A |
|
A |
|
12 |
| AKQJ109 |
|
AKQ |
|
AKQ |
|
|
|
12 |
| AKQJ109 |
|
AKQ |
|
AK |
|
AK |
|
12 |
| AKQJ10 |
|
AKQJ10 |
|
AK |
|
A |
|
12 |
| AKQJ10 |
|
AKQJ |
|
AK |
|
AK |
|
12 |
| AKQJ10 |
|
AKQ |
|
AKQ |
|
AK |
|
12 |
| AKQJ |
|
AKQJ |
|
AKQ |
|
AK |
|
12 |
| AKQJ |
|
AKQJ |
|
AKQJ |
|
A |
|
4 |
| AKQJ |
|
AKQ |
|
AKQ |
|
AKQ |
|
4 |
| |
|
|
|
|
|
|
|
Total: 3,756 |
The mathematical calculation results in the number of possible hands as being held by one player as: 635,013,559,600. The probability of one player holding a perfect bridge hand is therefore: 169,066,442 to 1.
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Claus and Raymond
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Conventions
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Bridge Sites
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Home Page I
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Glossary
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Home Page II
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