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Rule of 11

Rule of 11

The Rule of 11 is used for declarer play (or defense) at trick one. It assumes that the opening lead was "4th-best."

It is usually used at notrump, when the lead is assumed to be the 4th-highest card in the suit. By subtracting from 11, the declarer can tell how many cards higher than the card led are in the other three hands. For example:



bridge card suitJ 9 7

bridge card suitK 10 8 5 2


 
bridge card suitQ
 
 
 
bridge card suitA 6 4 3
 
 

When West leads the bridge card suit5, South does the following calculation:

11-5=6.  So there are 6 cards higher than the bridge card suit5 in the three other hands (North, East, and South).  South can see 5 of those 6 cards (the A,J,9,7,6). So he knows that East has only one card higher than the bridge card suit5.  He can then also use bridge logic. He can assume that with bridge card suitKQ10, West would have led the King. So, probably East's one card above the 5 is the King, Queen, or 10. South will probably play the 9 (or 7) from dummy, in the hopes that East's high card is the king or queen (twice as likely as the ten).

A defender can also use the Rule of 11.  Say that partner leads the bridge card suit7 in this situation:


 
 
bridge card suitK 6 5
 
 
 
bridge card suitQ 10 8 7
 

 
bridge card suitA J 9 2
 
 
 
bridge card suit4 3
 

Declarer plays low from dummy. What should East do?

Assuming 4th-best, East uses the Rule of 11 to get 11-7=4.

East knows there are 4 cards higher than the card led in the North, East and South hands. East can see all 4 of them (A,K,J,9). He knows that South has no card higher than the bridge card suit7, and accordingly lets the bridge card suit7 win the first trick so that West can continue the suit.

The Rule of 11 is reliable and easy to remember. Frankly, though, it doesn't come up very often. It is worth knowing, but don't expect to use it more than once every dozen sessions you play.