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Best play for 3 tricks (NT) Card combination

#1 User is offline   Trumpace 

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Posted 2006-June-20, 19:29



You need 3 tricks from the hearts and you have only outside 2 entries to dummy.

You use one entry to dummy to play a heart to the Ten and you win the trick.

What is the best play now?

Was a heart to Ten the right play in the first place?
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#2 User is offline   Trumpace 

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Posted 2006-June-20, 20:49

Sorry meant to put in the Beginner/Intermediate forum. Can this be moved there please?
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#3 User is offline   1eyedjack 

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Posted 2006-June-21, 00:01

I would have run the J rather than small to T, so that if it wins you are in the right hand to lead the next card in the suit without wasting entries. It sounds like you have enough entries anyway, but without the whole hand cannot be sure that using the entry up needlessly costs nothing

Then when J wins, repeat the finesse. If second finesse loses cross back to take the finesse again against the remaining honour.

The play is essentially the same if you start with low to T (winning): use entry to table to lead J next, run it (or cover RHO). If J loses to LHO use final entry to repeat finesse.

All this does assume that there is nothing from the bidding or play to affect the a priori odds of particular opponent having a concentration of values, whether in this suit or generally, and there is no danger hand etc.
Psych (pron. saik): A gross and deliberate misstatement of honour strength and/or suit length. Expressly permitted under Law 73E but forbidden contrary to that law by Acol club tourneys.

Psyche (pron. sahy-kee): The human soul, spirit or mind (derived, personification thereof, beloved of Eros, Greek myth).
Masterminding (pron. mPosted ImagesPosted ImagetPosted Imager-mPosted ImagendPosted Imageing) tr. v. - Any bid made by bridge player with which partner disagrees.

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#4 User is offline   erki_ 

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Posted 2006-June-21, 01:43

Low to ten is correct. If hearts are 3-3, it doesn't matter whether to lead J or 2, but more likely they are 4-2. If West has Kx and East Qxxx and you lead J, it will lose to K and you have only one entry to repeat the finesse and eventually you'll lose trick to Q too.
If both opponents play low now, you are forced to guess the position. If you are playing vs. beginners, it's probably best to go to dummy and repeat the finesse, if against experts, cashing A might be correct play.
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#5 User is offline   SoTired 

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Posted 2006-June-21, 05:27

Play low to 10 first is correct. If 10 wins, lead low to J on second round in case West ducked with Kx. Always play J on 2nd round to unblock.
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#6 User is offline   1eyedjack 

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Posted 2006-June-21, 07:40

My bad.

Agree with low to T

SoTired - after you play low to J on second round and it loses to RHO honour (after LHO plays low because he started with either xx or Hxx(x) instead of the hoped for Hx), presumably you now play for the drop. So you end up losing when RHO started with KQxx (when, ironically, running the J on first round gains). If instead you take a finesse on the third round you lose when they broke Hxx opposite Hxx and also when LHO started with Hxxx and RHO with Hx (when again running the J on first round ironically gains). But then, if you are going to play for the drop on the third round you might as well cash the Ace on the second round instead. That loses to KQxx in RHO (but then so does duck, duck, drop). But it wins when they break 3-3 or Hx falls in either hand.

It seems right, if T wins, to cross back and lead J.
You lose if LHO started with Hx but make when LHO started with Hxx or xx. A lot of defenders would find it hard to duck with Hx to start. Perhaps not so hard with Hxx
Psych (pron. saik): A gross and deliberate misstatement of honour strength and/or suit length. Expressly permitted under Law 73E but forbidden contrary to that law by Acol club tourneys.

Psyche (pron. sahy-kee): The human soul, spirit or mind (derived, personification thereof, beloved of Eros, Greek myth).
Masterminding (pron. mPosted ImagesPosted ImagetPosted Imager-mPosted ImagendPosted Imageing) tr. v. - Any bid made by bridge player with which partner disagrees.

"Gentlemen, when the barrage lifts." 9th battalion, King's own Yorkshire light infantry,
2000 years earlier: "morituri te salutant"

"I will be with you, whatever". Blair to Bush, precursor to invasion of Iraq
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#7 User is offline   P_Marlowe 

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Posted 2006-June-21, 07:46

<skipped>
With kind regards
Uwe Gebhardt (P_Marlowe)
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#8 User is offline   jdonn 

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Posted 2006-June-21, 09:54

Just food for thought.

How do people continue if low to the ten holds? Go back to dummy to run the jack with your last entry? But maybe a sneaky west ducked Kx...

So continue a low one from hand back to the jack instead? Ok, east wins the Q and maybe west ducked twice with Kxx...

I am just saying that without one more entry to dummy there is no sure way to continue. Obviously with three entries you could finesse three times.
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#9 User is offline   SoTired 

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Posted 2006-June-21, 10:22

you are right, jdonn. low to J loses to clever west who ducks twice with Hxx. leading J loses to clever west that ducked once with Hx. It is pure guess (from isolated info presented) from what holding West has ducked.

And either method works when East has both honors.
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#10 User is offline   1eyedjack 

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Posted 2006-June-21, 11:24

SoTired, on Jun 21 2006, 05:22 PM, said:

you are right, jdonn. low to J loses to clever west who ducks twice with Hxx.

It is even worse that that. If you refer to my earlier post it also loses to a west who ducks twice with Hxxx.

SoTired, on Jun 21 2006, 05:22 PM, said:

It is pure guess (from isolated info presented) from what holding West has ducked.


It is certainly a guess, but if by "pure" guess you imply that one guess is as good as another then I would disagree. The number of hand combinations that make up West holding the various possibilites vary with the possibility being considered, so the correct play (which may or may not be the winning play on an individual occasion) is to "guess" that West has the more frequent combination. The likelihood of West holding xx, Hx, Hxx, Hxxx are not identical, even if you do not take into account the likelihood of his initially ducking with Hx(x..)

SoTired, on Jun 21 2006, 05:22 PM, said:

And either method works when East has both honors.

And yet (as mentioned earlier) the one method that FAILS when East has HHxx is to cash the Ace on the second round (after the ten has held), although that line is superior to leading low to Jack as it picks up Hx opposite Hxxx either way round, which is more frequent. (Not that I am recommending cashing the Ace, my line is to cross to repeat the finesse, I am just saying that it is better than leading away from the Ace on second round).

Basically, there is no line that covers all bases. My line loses to Hx with West.

If West has Hx he can always beat me provided that I am committed to a repeated finesse. If I start by running the J he beats me by winning the first round. If I start by low to the T he beats me by ducking. So I lose against Hx with LHO. But I make on all other occasions where it is makeable, and I reckon that that is as good odds as I am going to get.

That being the case, there is not a whole heap of theoretical difference whether I start by running the J or start by low to the T. On balance I go with low to the T on the grounds that LHO is more likely to misdefend by winning with Hx after low to the T than he is to misdefend by ducking with Hx after first round running the J, so I give myself a slight unquantifiable edge by low to the T.
Psych (pron. saik): A gross and deliberate misstatement of honour strength and/or suit length. Expressly permitted under Law 73E but forbidden contrary to that law by Acol club tourneys.

Psyche (pron. sahy-kee): The human soul, spirit or mind (derived, personification thereof, beloved of Eros, Greek myth).
Masterminding (pron. mPosted ImagesPosted ImagetPosted Imager-mPosted ImagendPosted Imageing) tr. v. - Any bid made by bridge player with which partner disagrees.

"Gentlemen, when the barrage lifts." 9th battalion, King's own Yorkshire light infantry,
2000 years earlier: "morituri te salutant"

"I will be with you, whatever". Blair to Bush, precursor to invasion of Iraq
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#11 User is offline   jdonn 

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Posted 2006-June-21, 12:03

Without deeply analyzing your post, I notice a couple things:

- Hx with LHO is more likely than xx by odds of 8 to 6, so it seems like the wrong thing to play to lose to. Pretend you are missing KQ5432.

K5 K4 K3 K2 Q5 Q4 Q3 Q2
54 53 52 43 42 32

- Leading the jack first also loses to singleton K or Q on the left.
Please let me know about any questions or interest or bug reports about GIB.
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#12 User is offline   kfgauss 

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Posted 2006-June-21, 12:22

jdonn, on Jun 21 2006, 06:03 PM, said:

Without deeply analyzing your post, I notice a couple things:

- Hx with LHO is more likely than xx by odds of 8 to 6, so it seems like the wrong thing to play to lose to. Pretend you are missing KQ5432.

K5 K4 K3 K2 Q5 Q4 Q3 Q2
54 53 52 43 42 32

- Leading the jack first also loses to singleton K or Q on the left.

You're forgetting about x-KQxxx.
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#13 User is offline   1eyedjack 

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Posted 2006-June-21, 12:41

jdonn, on Jun 21 2006, 07:03 PM, said:

Without deeply analyzing your post, I notice a couple things:

- Hx with LHO is more likely than xx by odds of 8 to 6, so it seems like the wrong thing to play to lose to. Pretend you are missing KQ5432.

K5 K4 K3 K2 Q5 Q4 Q3 Q2
54 53 52 43 42 32

- Leading the jack first also loses to singleton K or Q on the left.

Perhaps you could clarify the alternative line that you think is superior, in order to check against the various other holdings that might gain or lose.

My prefered line (low to T, cross back and run J) ONLY loses against Hx with LHO (who ducks the T). But it does not ONLY gain against xx with LHO, so comparing the frequencies of those holdings in isolation is inconclusive.

You refer to LHO having singleton H. Although much less frequent than the other combinations, this only seves to strengthen the argument for low to T on first round, followed by crossing and running the J on the second round.

LHO holding singleton small is an irrelevancy, as either low to T first or running the J first both succeed.
Psych (pron. saik): A gross and deliberate misstatement of honour strength and/or suit length. Expressly permitted under Law 73E but forbidden contrary to that law by Acol club tourneys.

Psyche (pron. sahy-kee): The human soul, spirit or mind (derived, personification thereof, beloved of Eros, Greek myth).
Masterminding (pron. mPosted ImagesPosted ImagetPosted Imager-mPosted ImagendPosted Imageing) tr. v. - Any bid made by bridge player with which partner disagrees.

"Gentlemen, when the barrage lifts." 9th battalion, King's own Yorkshire light infantry,
2000 years earlier: "morituri te salutant"

"I will be with you, whatever". Blair to Bush, precursor to invasion of Iraq
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#14 User is offline   kfgauss 

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Posted 2006-June-21, 13:35

1eyedjack, on Jun 21 2006, 06:41 PM, said:

jdonn, on Jun 21 2006, 07:03 PM, said:

Without deeply analyzing your post, I notice a couple things:

- Hx with LHO is more likely than xx by odds of 8 to 6, so it seems like the wrong thing to play to lose to. Pretend you are missing KQ5432.

K5 K4 K3 K2 Q5 Q4 Q3 Q2
54 53 52 43 42 32

- Leading the jack first also loses to singleton K or Q on the left.

Perhaps you could clarify the alternative line that you think is superior, in order to check against the various other holdings that might gain or lose.

My prefered line (low to T, cross back and run J) ONLY loses against Hx with LHO (who ducks the T). But it does not ONLY gain against xx with LHO, so comparing the frequencies of those holdings in isolation is inconclusive.

You refer to LHO having singleton H. Although much less frequent than the other combinations, this only seves to strengthen the argument for low to T on first round, followed by crossing and running the J on the second round.

LHO holding singleton small is an irrelevancy, as either low to T first or running the J first both succeed.

My comment was meant to support your line, which I agree is the correct one (i.e. low to 10, then back & finesse again). The variant line of cashing the Ace after leading low to the 10 (presumably what Josh was suggesting) only does better on Hx-Hxxx holdings and only does worse on xx-KQxx and x-KQxxx holdings.

Andy
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#15 User is offline   jdonn 

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Posted 2006-June-21, 13:41

kfgauss, on Jun 21 2006, 02:35 PM, said:

1eyedjack, on Jun 21 2006, 06:41 PM, said:

jdonn, on Jun 21 2006, 07:03 PM, said:

Without deeply analyzing your post, I notice a couple things:

- Hx with LHO is more likely than xx by odds of 8 to 6, so it seems like the wrong thing to play to lose to. Pretend you are missing KQ5432.

K5 K4 K3 K2 Q5 Q4 Q3 Q2
54 53 52 43 42 32

- Leading the jack first also loses to singleton K or Q on the left.

Perhaps you could clarify the alternative line that you think is superior, in order to check against the various other holdings that might gain or lose.

My prefered line (low to T, cross back and run J) ONLY loses against Hx with LHO (who ducks the T). But it does not ONLY gain against xx with LHO, so comparing the frequencies of those holdings in isolation is inconclusive.

You refer to LHO having singleton H. Although much less frequent than the other combinations, this only seves to strengthen the argument for low to T on first round, followed by crossing and running the J on the second round.

LHO holding singleton small is an irrelevancy, as either low to T first or running the J first both succeed.

My comment was meant to support your line, which I agree is the correct one (i.e. low to 10, then back & finesse again). The variant line of cashing the Ace after leading low to the 10 (presumably what Josh was suggesting) only does better on Hx-Hxxx holdings and only does worse on xx-KQxx and x-KQxxx holdings.

Andy

I wasn't recommending anything, merely pointing out that there is no sure answer. You can cater to ALL those holdings by leading low from hand if low to the ten holds. I am just pointing out that you will still lose to something in that case, which is LHO ducking Hxx (and again on the way back up).

My real point is just that there is no sure answer. This is the kind of problem that is influenced by even slight knowledge of the shape and strength of each opponent's hand.
Please let me know about any questions or interest or bug reports about GIB.
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#16 User is offline   kfgauss 

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Posted 2006-June-21, 13:48

jdonn, on Jun 21 2006, 07:41 PM, said:

I wasn't recommending anything, merely pointing out that there is no sure answer. You can cater to ALL those holdings by leading low from hand if low to the ten holds. I am just pointing out that you will still lose to something in that case, which is LHO ducking Hxx (and again on the way back up).


Not only does this lose to Hxx-Hxx when they're aware enough to duck (and hey, we're already assuming they're aware enough to duck from Hx-Hxxx), it also loses to Hxxx-Hx, which none of the other lines lose to either (which they also have to duck from, but this one's easier). This makes it substantially worse.

Quote

My real point is just that there is no sure answer. This is the kind of problem that is influenced by even slight knowledge of the shape and strength of each opponent's hand.


Sure, but absent much info, low to 10, then back & finesse is superior in number of cases and in addition, in the cases it loses, the opps have to find a duck from Hx.

Andy
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#17 User is offline   foo 

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Posted 2006-June-22, 10:33

??? WITW?

The best way to play Jxx:AT98 for 3 tricks, especially if you have limited entries to the short hand is to play the J, intending to run it if not covered and win the A if the J is covered.

You will win 3 tricks on all layouts except where both missing honors are off-side (in this case, LHO).
When both missing honors are off-side you will take 2 tricks.

Odds are ~3/4 that you will get 3 tricks.

...or was there a joke being played on someone by posting bad advice that I'm missing?
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#18 User is offline   jdonn 

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Posted 2006-June-22, 10:37

foo, on Jun 22 2006, 11:33 AM, said:

??? WITW?

The best way to play Jxx:AT98 for 3 tricks, especially if you have limited entries to the short hand is to play the J, intending to run it if not covered and win the A if the J is covered.

You will win 3 tricks on all holding except where both missing honors are off-side.
When both missing honors are off-side you will take 2 tricks.

Odds are ~3/4 that you will get 3 tricks.

...or was there a joke being played on someone by posting bad advice that I'm missing?

You are missing the point of the discussion.

Say you are in the dummy now, with just one more later entry. Running the jack on the first round loses to Kx or Qx on your left, since you can only repeat the finesse one more time. Leading low to the ten in your hand on the first round guards against that, since you can run the jack later and hold the lead in that hand.

It's obvious to finesse, it's just a matter of starting with the jack or low.
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#19 User is offline   1eyedjack 

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Posted 2006-June-22, 10:59

jdonn, on Jun 22 2006, 05:37 PM, said:

Running the jack on the first round loses to Kx or Qx on your left

and, as you pointed out earlier, running the J (with only one spare entry) also loses to stiff honour offside when low to T gains.
Psych (pron. saik): A gross and deliberate misstatement of honour strength and/or suit length. Expressly permitted under Law 73E but forbidden contrary to that law by Acol club tourneys.

Psyche (pron. sahy-kee): The human soul, spirit or mind (derived, personification thereof, beloved of Eros, Greek myth).
Masterminding (pron. mPosted ImagesPosted ImagetPosted Imager-mPosted ImagendPosted Imageing) tr. v. - Any bid made by bridge player with which partner disagrees.

"Gentlemen, when the barrage lifts." 9th battalion, King's own Yorkshire light infantry,
2000 years earlier: "morituri te salutant"

"I will be with you, whatever". Blair to Bush, precursor to invasion of Iraq
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#20 User is offline   foo 

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Posted 2006-June-22, 15:44

jdonn, on Jun 22 2006, 11:37 AM, said:

foo, on Jun 22 2006, 11:33 AM, said:

??? WITW?

The best way to play Jxx:AT98 for 3 tricks, especially if you have limited entries to the short hand is to play the J, intending to run it if not covered and win the A if the J is covered.

You will win 3 tricks on all holding except where both missing honors are off-side.
When both missing honors are off-side you will take 2 tricks.

You are missing the point of the discussion.

Say you are in the dummy now, with just one more later entry. Running the jack on the first round loses to Kx or Qx on your left, since you can only repeat the finesse one more time. Leading low to the ten in your hand on the first round guards against that, since you can run the jack later and hold the lead in that hand.

It's obvious to finesse, it's just a matter of starting with the jack or low.

Whether you run the J or hook the T, you lose to Hx on your left.
Clearly, it also does not matter what you do if the suit is split Hxx:Hxx

Also, if both missing honors are offside and protected, you are only taking 2 tricks regardless of what you do.
Even KQ:xxxx rates to make you lose 2 tricks unless you somehow know that is the layout.

You are in Dummy =now=. You are only getting back once more.

If both missing honors are onside w/ that opponent short (but not KQ tight), they are going to split their honors most of the time no matter what and again you are limited to 2 tricks because of your limited dummy entries.

Your best chance for 3 tricks when both honors are on side and you are short dummy entries is to put the J on the felt and hope for xxx:HHx, xx:HHxx, or x:HHxxx and for RHO to Do The Wrong Thing.

That odds are against "fooling" Them. So play the suit "by the book".
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