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Bridge Basics : The law of restricted choice
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Recommend  Message 1 of 7 in Discussion 
From: MSN NicknameIRDOZ  (Original Message)Sent: 4/9/2003 7:06 AM
Most people have heard of the rule '8 ever, 9 never'. Another useful and very easy law to remember is the law of restricted choice.
 
This is a suit from this morings tournament in 3nt.
 
Dummy
109xx
 
Hand
AKxxx
 
You start with the Ace and the queen drops from the left hand opposition. There are no transport problems.
 
What is the law of restricted choice?
What does it tell you to do in this instance?
 
Only 2 out of about 10 declarers followed the law od restricted choice. It mad a 15 IMP difference or 0.75 average difference to your final score.
 
 
 


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Recommend  Message 2 of 7 in Discussion 
From: gippSent: 4/11/2003 5:35 AM
I dont know the law  but  would like to hear what it is.... but   there are only 2  cards out  the jx  so I would go to dummy   and lead the 10 toward the k   if  the j  doesn' t fall I  let it ride   assuming  they are breaking  3/1    I do recall somewhere along the way  that  suits   break  odd rather than  even  (probably something I dreamed up)

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Recommend  Message 3 of 7 in Discussion 
From: MSN NicknameIRDOZSent: 4/11/2003 6:23 AM
The rule of restricted choice works says this.
 
The play of a card which may have been selected as a choice of equal plays increases the chance that the player started with a holding in which their choice was restricted.
 
If a player holds a singleton Q or singleton J their choice is restricted.
 
If a player holds the doubleton QJ the cards are equal so they have an unrestricted choice about what to play.
 
Because the LHO played a card which may have been choice of equal plays then there is a higher chance that their choice was restricted - ie the chance is higher that they did hold a singleton queen or jack.
 
The simple rule of thumb is if you see LHO drop an honor in a suit holding like this (there are many similar ones) then the odds favor finessing RHO.
 
 
For the mathematically inclined here's the reason...
 
One player will hold QJ doubleton 6.78% of the time - so the chance that the LHO has QJ doubleton is 3.39% - and they will randomly play the Q or J from this holding. (They can play either - their choice is not 'restricted')
 
The probability that LHO had a singleton honor is 6.22%. Here the choice of card LHO can play is 'restricted'.
 
So the chance LHO had a singleton honor is 6.22% and a doubleton honor 3.39% (ie odds favor finessing rho by alomost 2:1)

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Recommend  Message 4 of 7 in Discussion 
From: MorgannnSent: 4/12/2003 12:09 AM
So Ross, whenever a restricted choice comes up. , the rule of restricted choice
takes precedence over  8 ever  9 never?
?

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Recommend  Message 5 of 7 in Discussion 
From: MSN NicknamePriorKnowledgeSent: 4/12/2003 1:16 AM
The short answer, Yes, but they are not exactly equal.
 
The rule "8 ever, 9 never" refers to 8 or 9 card fits and whether to finesse or play for the drop of the missing queen. With 8, you finesse. With 9, you play for drop. The LRC refers to the case when there are TWO missing high cards of equal rank and a defender plays one of them. LRC says the odds are 2-1 that the player had no play choice and that the other defender has missing high card.
 
Other common LRC situations:
 
1.
North    South
AK109    xxxx
You play the ace and East drops the jack.
Correct play: Lead from South hand and finesse 9. You will need to return to the South hand a second time and finesse the 10.
 
If you don't have 2 more entries to the South hand, you might as well play the king.
 
2.
North    South
AKQ9     xxx
You play the ace and both follow. You play the king and East plays the 10.
Correct play: Lead from South hand and finesse 9.
 
3.
North    South
AKQ8     xxx
You play the ace and East follows with the 9. You play the king and East follows with the 10.
Correct play: Lead from South hand and finesse the 8.
 
The following situation is NOT a restricted choice situation. It looks like one, but it isn't. I wrongly thought it was and lost a cold slam. :-((((
 
North    South
AKQ9xx   xx
You play the ace and East follows with the 10.
Correct play: Play the king. Since East can false card with J10x, this is not a restricted choice situation.

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Recommend  Message 6 of 7 in Discussion 
From: MSN Nickname_destiny_6Sent: 4/12/2003 4:19 AM
Also more generally, "8 ever 9 never" really only applies to situations where there is no other information.  For instance, if you are playing in an 8-card heart fit after RHO has bid an unusual 2NT showing ten cards in the minors, you probably would not choose to finesse RHO for the queen of hearts, even if you could only finesse in one direction through RHO.
 
In a restricted choice situation, you have some additional information from the play of the cards, so "8 ever 9 never" doesn't apply any more.

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Recommend  Message 7 of 7 in Discussion 
From: MorgannnSent: 4/12/2003 2:08 PM
Thanks Ross. PK , Destiny and especially Ginny who was not embarassed as I wasto ask what on earth( the hell) is LRC..
I can honestly say its food for thought and am sure it will help improve my play and reduce the guess work involved in situations as enumerated in the posts!
 

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