Comparative Bridge |
Scoring Systems
There are basically two different scoring systems for Bridge game. The first and the old one is Rubber Bridge System and the second one is Chicago Bridge System. The scores are the same in both systems but they are written differently.
At first, lets look at the score values of the suits and No Trumps. If you can make the contract then you will get 30 points per trick for major suits, 20 points for minor suits. If the contract is No Trump then you will get 40 points for the first trick and 30 points for each subsequent tricks. So if the contract is 3 Spades for instance, and if you can make the contract then you will gain 90 points (3 x 30). Or if the contract is 3 No Trump and if you can complete the contract you will earn 100 points (40 + 30 + 30) which makes a game.
According to the scoring system you play, you gain some bonus for making contract, game or rubber.
Rubber Scoring System
In this system the scoring sheet consists of a vertical line and a horizontal line crossing each other. Left side of the vertical line belongs to the scores of one pair and the right side to the other pair. If any pair completes the contract, the score is written below the horizontal line, and the other scores, just like overtricks, bonus and penalties, are written above the horizontal line. For instance if the contract is 3 Spades and you make 10 tricks then you will write 90 below and 30 above the horizontal line. When you have completed the score below the line to 100, it means you have completed a game. Then another line is drawn below and this line prevent the part score (if any) of the other pair to be completed to a game. So if you have a part score of 70 below the line and the other pair makes a game then you can not complete this part score to 100 to make a game. You should start from the beginning. A rubber is completed when one of the pairs makes two games. Rubber bonus is added and sum of the scores is calculated, the difference between the total scores of two pairs is written above the line on the second rubber score sheet on the side of the winning pair and the second rubber begins. Rubber bonus is 500 points if the other pair has a game, 700 points if they don't have a game. A bridge party consists of three rubbers.
Doubled Contracts
If a pair was doubled and they made the contract then the score is multiplied by 2 and written below the line. In case of redoubling the score is multiplied by 4. So if the contract is 1 NT redoubled and completed then 160 (40x4) is written below the line and it is a game.
Overtricks
If you make more tricks than you bid, these are overtricks. Overtrick scores change according to vulnerability and double and redouble conditions. Vulnerability means that you have completed a game before in the same rubber. So when a pair made a game in a rubber, they are vulnerable from that time till the end of the rubber. You can examine the score for each overtrick from the table below.
Not Vulnerable | Vulnerable | |
Not Doubled | Score value | Score value |
Doubled | 100 | 200 |
Redoubled | 200 | 400 |
Undertricks
Not Vulnerable | Vulnerable | |
Not Doubled | 50n | 100n |
Doubled | (2n-1)x100 | (3n-1)x100 |
Redoubled | (2n-1)x100x2 | (3n-1)x100x2 |
These undertrick scores are written above the line on the opponent side of the vertical line, (n) represents the number of undertricks.
According to this formula, penalty for the first undertrick is 100 points and 200 points for the subsequent undertricks. But in order to increase the penalty for more than 3 undertricks in doubled non vulnerable cases, 300 points penalty has been accepted for the 4th and subsequent undertricks. So if you win 5 fewer tricks in a doubled contract when you are not vulnerable, your penalty will be 1100 instead of 900 points.
Bonus and Honors
Not Vulnerable | Vulnerable | |
Slam Bonus | 500 | 750 |
Grand Slam Bonus | 1000 | 1500 |
Honor for 4 High Cards of the Trump in One Hand | 100 | 100 |
Honor for 5 High Cards of the Trump in One Hand | 150 | 150 |
Honor for 4 Aces in One Hand in NoTrump | 150 | 150 |
In order to get Slam or Grand Slam Bonus, the contract sould be Slam or Grand Slam. You can not get these bonus by winning 12 or 13 tricks if the contract is not Slam or Grand Slam.
All of these bonus and honors are written above the horizontal line.
Now let's explain this scoring system in a Rubber Bridge Party.
First Rubber Second Rubber Third Rubber
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70 |
120 |
180 |
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120 |
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60 40 |
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100 |
90 |
40 40 |
100 |
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200 |
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First Rubber
Second Rubber
Third Rubber
Chicago Bridge System
In rubber bridge the length of the rubber is unlimited. A Rubber continues until one of the pairs makes two games. In Chicago System the number of deals are limited. Cards should be dealt by each player one time, so this is a four deal game. If all the players pass in any deal, then the cards are shuffled and dealt by the same player. This system has several versions. On the original Chicago system number of deals are limited by four. Vulnerability is fixed for any deal, when the North is dealer nobody is vulnerable, when the East is dealer East-West are vulnerable, when South is dealer South-North are vulnerable and when West is dealer everybody is vulnerable. The rules are the same with rubber bridge but since there will be no rubber, there is no rubber bonus but instead of that there is a game bonus in this system. Game bonus is 500 for vulnerable and 300 for non vulnerable. Since it is possible to complete the part score to 100 to make a game, vulnerability is valid for the deal on which the game is completed. If the forth deal is ended with a part score, a contract bonus of 100 is given to the declarer pair. The game of course could be extended as the multiples of four deals.
Now let's give an 8 deals example.
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30 |
30 |
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Vulnerability |
North-South | East-West | |
1. Dealer North | Nobody | 60 | - |
2. Dealer East | East-West | 360 | - |
3. Dealer South | North-South |
- |
400 |
4. Dealer West | Everybody | 190 | - |
5. Dealer North | Nobody | 1260 | - |
6. Dealer East | East-West | - | 70 |
7. Dealer South | North-South | 620 | - |
8. Dealer West | Everybody | - | 190 |
Afterwards, this scoring system has been improved to make all deals independent from each other. Above the horizontal line has been cancelled and accepted that the part scores would not be accumulated to the next deal. Therefore a bonus has been assigned for making a part score, 50 points for non vulnerable and 100 points for vulnerable deals. The other rules have remained the same. Now let's rearrange the table above according to this version
Vulnerability |
North-South | East-West | |
1. Dealer North | Nobody | 140 | - |
2. Dealer East | East-West | 110 | - |
3. Dealer South | North-South |
- |
400 |
4. Dealer West | Everybody | 190 | - |
5. Dealer North | Nobody | 1260 | - |
6. Dealer East | East-West | - | 200 |
7. Dealer South | North-South | 620 | - |
8. Dealer West | Everybody | - | 190 |
1.Deal : 60 for 2 Spades + 30 for overtrick + 50 bonus for making part score non vulnerable = 140
2.Deal : 60 for 3 Diamonds + 50 bonus for making part score non vulnerable = 110
3.Deal : 100 for 3 NT + 300 bonus for making game non vulnerable = 400
4.Deal : 90 for 3 Hearts + 100 bonus for making part score vulnerable = 190
5.Deal : Same as the previous table.
6.Deal : 70 for 2 NT + 30 for overtrick + 100 bonus for making part score vulnerable = 200
7.Deal : Same as the previous table.
8.Deal : 90 for 3 Spades + 100 bonus for making part score vulnerable = 190
The third phase in Chicago scoring system is Duplicate Bridge. This is the system carried out on tournaments and brings some differences on bonus scoring. Bonus for making part score is 50 for vulnerable and non vulnerable deals, and also 50 points bonus is written for a doubled contract and 50 points plus for redoubled contracts. For instance if the contract is 1 Club redoubled and if it is made, 230 points are written, 80 for redoubled 1 Club, 50 bonus for making a part score, 50 bonus for making a doubled contract, 50 bonus for making a redoubled contract. Another difference of this system is the vulnerability turn of the pairs as you will see in the following table.
Deal | Dealer | Vulnerability |
1. Deal | North | Nobody |
2. Deal | East | North-South |
3. Deal | South | East-West |
4. Deal | West | Everbody |
Match Points in Tournaments
In tournaments there should be at least two tables, so at least two East-West pairs and two North-South pairs. Match point per table for a two tables tournament is 2 points, and 2 match points are added for each added table. So the match point per table for a four tables tournament is 6. All the boards are played by all pairs and match points are given according to the scores they have gained. Let's explain the match points on one board for a four table situation.
Scores |
Match Points | |||||
Contract |
Contract by |
Tricks |
N-S |
E-W |
N-S |
E-W |
3 NT | E-W Pair 1 | 8 | 50 | - | 6 | 0 |
4 Spades | E-W Pair 2 | 10 | - | 420 | 2 | 4 |
4 Spades | E-W Pair 3 | 11 | - | 450 | 0 | 6 |
3 Spades | E-W Pair 4 | 10 | - | 170 | 4 | 2 |
As you see on the above table, E-W Pair 3 gained the maximum 6 match points with the best score. Second score gets 4 match points and the third score gets 2 Match points and the forth score gets 0 among E-W pairs. 6 match points are seperated between the E-W and N-S on each table, so the total match point in a table can not exceed 6 points. If a E-W pair gained 4 match points in a four table tournament then their opponent N-S pair gets 2 match points. The above table is for just one board. There may be 16 or 24 or 32 boards in a tournament, therefore a similar table is prepared for each board and at the end, the total match points of each pair are summed up.
How will we seperate the match points if there is an equality between the scores? Let's say E-W Pair 3 also made 10 tricks on the above board. Then their score would be 420 just like E-W Pair 2. In such a situation, since they have the first and second best scores, the first and second best match points available are summed and divided by 2. (6 + 4) / 2 = 5 they both gain 5 match points and their opponent N-S pairs gain 1 match point. So if all pairs in E-W positions get the same scores in any board, all the match points are added and divided by 4 and all the pairs get 3 match points for a four table tournament.
How will we calculate the match points if all the players in one table pass? Let's say N-S pairs on three tables opened the game, bid 1 NT and made 6 tricks. The N-S pair on the forth table did not open the game. The scores and the match points would be as in the table below.
Scores |
Match Points |
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Contract |
Contract by |
Tricks |
N-S |
E-W |
N-S |
E-W |
1 NT | N-S Pair 1 | 6 | - | 50 | 2 | 4 |
1 NT | N-S Pair 2 | 6 | - | 50 | 2 | 4 |
1 NT | N-S Pair 3 | 6 | - | 50 | 2 | 4 |
- |
N-S Pair 4 | - | 0 | 0 | 6 | 0 |
If a contract can not be completed due to any reason, then the pairs share the total 6 points for a table as 3-3. In this situation, since there will not be 0 point for any pair on the other three tables, the points will be given extracting 1 point. So the total match points of all N-S or E-W pairs will not exceed 12 points for a four table game. An example scene could be as follows.
Scores |
Match Points |
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Contract |
Contract by |
Tricks |
N-S |
E-W |
N-S |
E-W |
3 NT | N-S Pair 1 | 10 | 430 | - | 5 | 1 |
4 Hearts | N-S Pair 2 | 10 | 420 | - | 3 | 3 |
3 NT | N-S Pair 3 | 9 | 400 | - | 1 | 5 |
Not Completed | N-S Pair 4 | - | - | - | 3 | 3 |