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Topics - kenberg

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1
Sleight of Hand / Shape, LOTT, all that jazz
« on: July 04, 2022, 01:59:36 PM »
We had some good luck on the challenge yesterday. I'll post the last hand. I am curious as to what everyone thinks should happen. For example, what is the par contract? Is it plausible to reach it? NS have 17 cards in the majors, and so EW have 17 cards in the minors. Is LOTT accurate and can it be confidently applied during the bidding?


https://www.bridgebase.com/tools/handviewer.html?lin=st||pn|S,W,N,E|md|4SKQ8763H973DT82C2,SA95H4DK654CAQJ54,ST42HAKJT6D7CKT73,SJHQ852DAQJ93C986|sv|b|rh||ah|Board%2010|mb
 

I am assuming that a discussion of these boards is welcome. There were more than the usual number of shapely hands yesterday, and that always leads to some guesswork.



2
Sleight of Hand / 1NT-2D(Capp)-3D, and Donna
« on: May 07, 2022, 08:36:39 PM »
In a recent Donna session I opened 1NT, there was a Capp overall of 2 !D on my left, and partner bid 3 !D. Whatsit? I took it as natural and forcing but later I got to thinking. Perhaps this should be seen as a U/U situation  Thus, after 1NT-2 !D Capp, a bid of 2 !H shows !C, a bid of 2 !S shows !D, both of these calls strong, while a direct bid of either 3 !C or 3 !D should be natural and weak. This is how it was intended I believe.  It is also the agreement recommended by Steve Robinson in Washington Standard, 2nd Ed. With these agreements you do not need 1NT-2 !D - 2NT to be Leb, you have a way to show a strong minor and a way to show a weak minor, so 1NT-2 !D -2NT is just a natural call.

Of course this is not the whole story. After 1NT-2 !D-2M we have to see if we should play game in the minor or on NT, and after 1NT-2 !D - 3 !D there can be issues of what to do if 4th hand bids a major. The way I remember it, not sure I am right, they can make 3 !H, we can make 4 !D.

I am not exactly confessing to error here, without discussion it's a guess. But, upon reflection, I do think it's reasonable to attach the meanings SR, and my pard at the time (Blu), assigned to the 3 !D call.   Or, ok, we can call my bidding on an error. Not my first.

Donna's hands are intended to uncover problems with (the lack of) agreements. Seems to be working,

3
Sleight of Hand / Drury in action
« on: March 28, 2022, 09:57:13 PM »
Drury is played in different ways.
Bridge World Standard, for responses after a third or fourth hand opening bid of 1 !H or 1 !S, says

Passed-Hand Situations: These methods apply to responding to a major-suit opening by a passed hand:
(a) one notrump is semiforcing (6-12 points);
(b) two clubs is a strong raise (a hand too strong for a single raise, but unsuited to a higher bid);
(c) three clubs is natural, similar to two diamonds but with long clubs;
(d) a jump-shift other than three clubs is a strong raise with length in the suit bid;
(e) a double jump-shift is a splinter raise.

So 2 !C is Drury, 2 !D is not Drury.

We also have to decide when Drury is on. Say we open 1 !H in third position and fourth hand enters the auction. My own preference is that if 2 !C is available as a bid then 2 !C is Drury. I am not sure what BWS says about that.


Anyway, here is a hand:


!S  Q5
!H  KJT73
!D  K96
!C  A84

Matchpoints, nobody vul, three passes to you, you open 1 !H.

Opponents stay out of the auction


Pass     1 !H
2 !C     2 !D
2 !S     2NT
3 !D

What now? The 2 !D shows a full opener, or, as I like to think of it, a hand where it seems at least possible that we should be in 4 !H.
I was playing with robots so they told me that 2 !S showed at least three spades headed by the Q or better.
I intended my 2NT as passable, I think that is reasonable, but the bots claim it is forcing to 3 !H.
And the bots tell me 3 !D shows at least 3 diamonds headed by at least the Q.

Ok, maybe the bots and I were not on exactly the same page. The way I see it, the bot could have bid 3 !H, so bidding 3 !D should be a hand with a little more than a minimum 2 !C call.

So should I bid 3 !H or 4 !H?

Part of my reason for posting is so others can comment on whether they think 3 !D should be more encouraging than 3 !H.

Well, I bid 4 !H. I made 4 !H. But it required a bit of luck.

!S  A864
!H  854
!D  AQT7
!C  97


!S  Q5
!H  KJT73
!D  K96
!C  A84

So: Did we overbid? And if so, who?

It seems useful to have some hands where it is maybe not certain whether or not we belong in game and discuss what to make out of the Drury bid and the follow-up.

 



4
Sleight of Hand / And still more Donna
« on: March 26, 2022, 01:35:16 PM »
This time we start with both hands:



!S  AK94
!H  J3
!D  AK7
!C  Q942

!S  J7
!H AKQ42
!D 3
!C AKJ86

The bottom hand deals and opens 1 !H.
Again I gave this to the bots: 1 !H - 1 !S - 3 !C - 7 !C Nice and simple.
There was discussion about my choice. After 1 !H - 1 !S I chose 2 !C. The 2 !C is a wide ranging bid since bidding 3 !c is game forcing and pard has so far simply bid 1 !S over 1 !H. Perhaps this hand is worth a game force. It's close. The important thing is that 3 !C is a game force and therefore 2 !C can be on a wide range of hands.


7 !C is a fine contract. I claimed at T1. In fact 7NT scores 2+4+2+5=13 tricks but that is because of the !H J. Change the !H J to the !H 5 and 7NT still has a play but surely 7 !C has a better play. For example it's on ice unless clubs are 4-0 (or defenders a ruff at T1), and even if clubs are 4-0 there is a decent play for 13 tricks.

So pick your auction!

I hope Donna is ok with using these hands. They are very useful.

5
Sleight of Hand / More Donna
« on: March 26, 2022, 12:02:22 PM »
Donna's hand are for discussion of agreements. That's a good idea in general that also could be useful as we have another match with the acols.
So here is one of her Thursday hands:


!S  AQT
!H  KQT76
!D  976
!C  T9


Vulnerability and scoring unknown, So if it affects your choices say so.

Lho deals, three passes to you, your choice? I gave this to the robots and they passed it out.I think it is close. There is something called the rule of 15 for 4th hand openings. It requires that if the number of hcps plus the number of spades is less than 15 you pass it out. Ok, I have 11 highs and 3 spades but this hand is better than that.
I opened 1 !H, pard bids 1 !S.

Pass Pass Pass 1 !H
Pass 1 !S  Pass  ?

I passed.
 
!S  AQT
!H  KQT76
!D  976
!C  T9
 



!S  KT864
!H  953
!D  8
!C  AQJ5

Do we want to play this in 4 and if so, 4 !H or 4 !S ? And what are the choices?

Drury was available and pard mentioned he might have bid 2 !C instead of 1 !S. Or I might have raised 1 !S to 2 !S. Otoh, pard could reasonably think "I will bid 1 !S. If pard passes that because he opened light then we probably don't belong in game. If pard bids again I can then show my hearts and give him a good picture of a hand with spades, with heart support, and with good values."

As mentioned the bots passed it out. Your thoughts?




6
Sleight of Hand / To be or not to be
« on: March 23, 2022, 07:24:11 PM »
I saw the Lawrence Olivier Hamlet film the other day, hence the title reflecting ambivalence. This hand is from a recent challenge match. It worked out for me, but should it have?

Let me give you both hands and ask where you want to play it.

!S J5
!H Q82
!D KJ2
!C 65432


!S A83
!H K7
!D AQ54
!C AQ97

It's imps. vul against non-vul, but if you would choose differently at mps feel free to say so.

The bidding starts with three passes to you sitting S.

Question 1: What would you think the final contract should be, just looking at the two hands?

Question 2: Suppose the bidding starts with three passes to you sitting S. How do you envision getting to the best contract?

Question 3 (as happened): Not surprisingly, after three passes S opens 1 !D. But now Lho comes in with a preemptive 2 !H. The opponents are subsequently quiet. Does this change your opinion of where to play this hand and how would you get there?

Kicker: This was a challenge match so W, N and E are all robots.

I'll leave it as a question for the moment.

7
Sleight of Hand / Dare to acol
« on: March 15, 2022, 03:43:15 PM »
Yesterday's Dare, Board 2, defense:

The uncontested auction begins on your left
1 !H - 1 !S
1 NT - 3NT

This being acol, that 1NT rebid is like an opening 1NT in std 2/1.

Partner leads the !C J

Dummy hits, shown to the right,  you hold, as shown below:
                                        !S AJ83
                                        !H QT
                                       !D KQ95
                                        !C 853

       !S K62
      !H KJ3
       !D 8643
      !C 742

A small !C from the table, taken by the Q (at our table taken by the A but taken by the Q is better I think).
Declarer leads the !S Q, pard shows an odd number of cards, declarer plays low from dummy, let's say you forget the duck and take your K. Now what?
Suppose the object is to set the hand, overtricks and undertricks are ignored.
Now what?

I considered a small !H. If pard has the A we get 3 tricks. But surely declarer then has the rest.

Ah, but this is acol. There is no way I was going to find the setting switch to the !H J even if I did remember this is acol, but it would have worked.

Parter holds !H A972
So: !H J to the A, !H 2 to my K, and now a third !H to pard's 97, declarer holding 86.

no, I am not doing that.


Still, I thought I would post the hand. We will be playing against the acols on Ap 3 and it is good to keep in mind how they bid.

Acols open four card majors. Goren opened for card majors but even Charlie did not open 1 !H on 8654. Apparently acols do.

Something to keep in mind, although not dwell on, for Ap 3.

Btw, I duclke the first !S after which declarer had a clear 9 tricks. But even if I took the first !S I was not switching to the !H J.

8
The IAC Café / Meandering thoughts
« on: March 02, 2022, 02:24:03 PM »
An old joke distorts a common saying so that it reads "Ok, that's all very well in practice but how does it work in theory?"

I enjoy thinking through hands after the play, thinking what would have worked, thinking whether it was plausible to play it that way before seeing it as double-dummy. Sometimes, maybe often, this leads to a line of play that is very reasonable without any peeking but is not one that I expect myself to think of at the table.  I have written up these thoughts for two hands from the iac/acol match, bd 4 of the first half and bd 3 of the second half.

I do this for fun. I am curious if anyone else enjoys such fun.

I took a very good geometry course when I was 14. Sure, c^2=a^2+b^2, but what interested me was that you need the parallel postulate to prove it. An early indication of a weird sense of fun.

So, on a lazy morning, I am just speaking of fun. But sometimes fun is useful fun. Any thoughts?

9
Sleight of Hand / iac versus acol, 1st half, board 4, Added stuff.
« on: March 01, 2022, 05:21:09 PM »
Hi
I previously posted board 3 of the second half, my message being that I should have made it.
Board 4 of the first half is a different story. Double dummy I can make my 5 !D contract (Gib says so and can Gib ever be wrong?) but even DD it takes a bit to see how.


The hands:

                                     !S AKJ4
                                     !H 842
                                     !D AQT743
                                     !C void


!S Q86                                                      T97532                                   
!H Q9653                                                  7
!D KJ85                                                     2
!C T                                                          AQ643

                                   !S void
                                   !H AKJT
                                   !D 96
                                   !C KJ98752

I decided not to rotate the hands since you might want to compare with other tables. N is declared in 5 !D.
                                   

I will get to the bidding later, right now I want to look at double dummy play on the lead of the !H 7

We need 11 tricks. Where from? Well, five tricks in !D, one !S ruff, three top !S after the ruff, two !H tricks, that makes 11. But if we use a trump in dummy ruffing a !S, how do we bring in 5 trump tricks?

Oh. A trump coup. Of course :)

T1 Win on the board
T2 lead a !D, cover whatever W plays. Say it goes 6.8,T
T3,4,5 !S A,K,4, throwing two clubs and ruffing the 4
T6 small !C from table, ruffed in hand
T7 !H to the board.
T8 Another !C. We could hope W ruffs and we overruff, but W is not that helpful. So he tosses a !H since that's his only other choice. Weruff

We have the first 8 tricks, we need 3 more. Let's look at what is left.



                                     !S J
                                     !H 8
                                     !D AQ7
                                     !C void


!S                                                            T97                                   
!H Q9                                                       
!D KJ5                                                     
!C                                                            AQ

                                   !S void
                                   !H JT
                                   !D
                                   !C KJ9

N is on lead.
T9 lead a !H

W wins and must lead. The choices are ugly. Presumably he leads a !G. We ruff for the 9th trick. We lead the !S. W ruffs (no choice) and is on lead We get the !D A and Q for 11 tricks. Note that it doesn't matter whether the !S J is the highest remaining !S. This is, I guess, a repeating coup.

Thihs appears to work.  I think.

If I could find that line at the table I could make a lot of money. Until I was caught peeking. Actually, peeking wouldn't help unless I am given an hour or so to figure how to make use of it.

5 !C is easier double dummy. Declarer, noting the stiff !C T, plans to establish clubs by leading the K and then, when next in hand, the J E gets his AQ, that's it. And I guess 3NT makes, also be establishing clubs. Establishing Ds won't work so well since after they are established you can't get there.

Bidding: I opened 1 !D, E bid 2 !S and S bid 3 !C. Even with 7-4 I probably would have made a negative double as S. It could get interesting after that if W bids 3 !S. In theory the defense gets 2 red aces, a club ruff and the AKJ of spades for down 2. And maybe S gets an eventual club trick. He can't ruff them all away. I have not thought through just what ha[[ens against a spade contract by E with optimal NS defense.

EW really do not want to play this in spades. or in clubs. NS can actually make something although it's very double dummy to make game. EW can't make anything.

Added: I don't know if I have ever seen this double use of the trump coup before. It depends on spades being 6-3, reasonable on the auction we had, and on W having at least four hearts including the Q, also reasonable on the auction and the lead. But it also depends on diamonds being 4-1 with W holding the K and J. It doesn't depend on the clubs being as distorted as they are. Eg 3-3 clubs, and thus 3-3 hearts will be fine. And we don't care which three spades W has.
It's the !D split that is hard to assume. Not impossible though.
Of course when you run the !D finesse you should lead the 9 from the board, not the 6, in case E has the stiff 8. I was just doing full DD when running the 9. Probably the 9 will not be covered by the J since W can reason that if E has the T there is no need to cover and if N has the T there is no purpose in covering.

Taking a specific case:

                                     !S AKJ4
                                     !H 842
                                     !D AQT743
                                     !C void


!S T86                                                      Q97532                                   
!H Q65                                                      973
!D KJ85                                                     2
!C AT3                                                      Q64

                                   !S void
                                   !H AKJT
                                   !D 96
                                   !C KJ98752

We suppose the lead is still the !H 7 (2nd from spots)

We proceed as before and after 8 tricks we have:

                                     !S J
                                     !H 8
                                     !D AQT
                                     !C void


!S                                                             Q97                                   
!H Q                                                         9
!D KJ8                                                     
!C A                                                         Q

                                   !S void
                                   !H JT
                                   !D
                                   !C KJ9

Just as before we lead the !H from hand and W is in. He can give us our first !D trick of this end position by leading a !D, we take it and get out with the !S, not carding who wins, or W can lead the !C A, we ruff, and get out with the !S not caring who wins.
So we get all 6 of the !D s in our hand, the top 2 !S s, the top 2 !H s, and one ruff. 6+2+2+1=11.

It seems to me that the main issue is to bet that E has a stiff !D that is not the K or J. That's a tough thing to rely on. But once we decide to play on that assumption, the rest falls into place. I just needed to tell the opponents that I needed to think about the hand for a day or two before playing it.



10
Sleight of Hand / iac versus acol, second round, board 3
« on: February 27, 2022, 01:54:16 PM »
Declarer's hand at the bottom

 !S 8762
!H K643
!D K75
!C AJ


!S K943
!H ----
!D QJ642
!C KQT6

Non-vul against vul, imps

The contract is 4 !S, played by the hand with the !H void. The opening lead is the !H J: J-small-small-ruff.

Ok, not a great contract. We need to hold the losers to two spades and one diamond. Obviously we need the !S A to be on the right and we need the !S to be 3-2.  And we need a bit more.

So we ruff the !H lead at T1, go to the board with a !C, lead a small !S, Rho hops up with the A (from AQ it turns out so this hopping up seems natural enough) and Rho leads a !C.

It's been a while, maybe fifty years, since I saw Sesame Street but I think Bert and Ernie used to play What Happens Next? The idea was that the answer was predictable and so care was needed.

What I did. I one the !C, drew a round of trump, led a !D. Predictably, the !D lead went to Lho's A, he cashed the third trump leaving me with no more trump in hand, and led a !H. Oops.

That was both predictable and avoidable. back to Rho's C return  at T4. We are already playing on the assumption that trumps are 3-2. If !C are 4-3, and they are, the hand is on ice.

Win the !C on the board, ruff a !H in hand, lay down the !S K, cash a !C throwing a !H. When this third round of  !C is not ruffed we can claim the hand.



Play another !C throwing a !H

!S 87
!H
!D K75
!C 


!S
!H ----
!D QJ642
!C

Was that fourth !C ruffed? Who cares? Sooner or later he gets his high trump, sooner or later he gets his !D A. But that's it. They get no !H tricks.

After 60 years of playing bridge I still forget Bert and Ernie's advice to ask What Happens Next. This is a lucky hand, everything has to be just so. But it is not a hard hand.


Part of the idea of this match was that it was acol versus American-style bidding. Sure, But I find that on most hands, it doesn't much matter what system you are playing. Probably we should stay out of 4 !S here, it requires luck to make it, but luck was being a lady last night and we just needed to think it all through.

 

11
Sleight of Hand / Dare to look back at Board 5, 2/21/2022
« on: February 22, 2022, 10:09:44 PM »
I like to revisit DARE hands. Often I find errors in hands that went well. Board 5 was an example. I'm pretty sure I have it right now.


You hold

AQ
KQ843
AJ
KQT3

You are told to open this 2NT so you do. Partner raises to 7NT.
The prescribed lead is the !D 8
Dummy hits

KJ
AT52
KQ
A9542

AQ
KQ843
AJ
KQT3

this is one serious duplication of values, with 20 highs tied up in the four tricks in the pointed suits. But the only issue is that hearts or clubs or both might split 4-0.

Cashing the !C K will tell you if the !C are 4-0  9they are) and you can pick up the suit by a finesse. But we still have to worry about hearts. Also, if the four clubs are on the right (they are) then after cashing the !C K  you block the suit when/if you then lead small to the A and back to your QT. Of course there are other entries but you don't really want to use them up before the heart situation is clarified. That's the point I missed.

So a good strategy is take the first !D in hand. Then when the !C k shows that all four clubs are on your right you can go back to the board in !D and lead a !C to your QT3.

In this way you will be able, if you wish, to take all five !C tricks w/o touching the entries n !H and !S.

However, you get a bonus since when you go back to the board in !D, Rho shows out.

So it has been:

T1: !D 8 to the !D T on your right and your A.
!2: !C K, Lho tosses a !D, dummy the 2, Rho the !C 6
T3: D J from hand, Lho follows, K from board, Rho throws a small !S.

Who has four hearts? It doesn't matter. We can now claim the hand.

I played the first three tricks differently. Eventually I decided that if hearts were 4-0 ut seemed more likely to be Rho who had them Luckily this was so. With the first three tricks as above, it doesn't matter who has four hearts.

A very interesting hand.

PS I am not saying that what to do next is obvious.

12
Sleight of Hand / on the edge?
« on: February 16, 2022, 04:08:50 PM »
Your hand:
QJ9
KQJ6
A8
QT43

Matchpoints, red against white, you deal and open 1NT, the uncontested auction begins:

1NT-2 !C - 2 !H - 3 !S -?

Of course we need to know what to make of the 3 !S call. We are playing Robot Standard, in fact we are playing with the Robots, so we go by their agreements. 3 !S shows a heart fit, no stiff, and 15+ total points.

I assume we bid 4 !D.
Partner now bids 4 !H. What next?

1NT   2 !C
2 !H   3 !S
4 !D   4 !H
?

My theme here is that it is not enough to have a conventional agreement, we also have to know what happens next.

Your thoughts?






13
Sleight of Hand / Hmm
« on: February 12, 2022, 02:13:45 AM »
The robots use the auction 1NT-3M to show a singleton. Often (although maybe the robots don't require this) the 3M call also stipulates that the other major will be a three card suit.

Now the robots also play minor suit stayman. So I started thinking about this.

AJ2
8
J986
K9875

Partner opens 1NT.
I can bid 3H. I can also bid 2S. I gave it to the robots. They went with 2S.

1NT-2S-3D-3H(this also shows a stiff, or void)-5D. Making 5. NT is hopeless.

I have to think about this. I am inclined to think that when responder is 3-1-4-5 with game forcing values opposite a NT opening, the auction is apt to start 1NT-2S rather than 1NT-3H. That's what happened with the hand I gave them, Perhaps I will experiment around a little more.

I have played the 1NT-3M(3M=stiff) agreement with some people, including the robots, but I can't recall 1NT-3M  ever coming up. Maybe I can now see why.

Any thoughts?


14
Sleight of Hand / One hand, many options
« on: February 07, 2022, 04:49:48 PM »
Jack posted a couple of interesting hands and we discussed the many roads not taken. Here is a recent example of my own.

Matchpoints, everyone is vulnerable. Partner deals and passes, Rho opens 1NT,  the opponents reach 3NT on the following uncontested auction:
1NT-2 !D (trf)- 2 !H - 2NT -3NT.

Your hand:

!S: 95
!H: K862
!D: 73
!C: Q7643

A club seems like the natural lead, we are playing 4th best so I lead the !C 4.

                    !S Q62
                    !H JT943
                    !D A2
                    !C J95



!S: 95
!H: K862
!D: 73
!C: Q7643


The 9 is played from dummy: 4-9-T-8
Partner continues with the !C K and declarer produces the A.
I suppose this could be a suit preference situation since pard might well have been dealt a doubleton. That didn't occur to me. My thinking was "No point in blabbing about how many clubs I have" so I followed with the 6.
declarer now led the !H Q. Hopefully I am not crashing anything, pard presumably has two hearts, so I took my K and ann my clubs. That sets the contract. Now what? On the run of the clubs, pard followed one and then tossed the !D Q and a small !S. Declarer tossed a couple of small !D and small !H.

So I should lead a !H to my partner's A, right? But I didn't, so declarer took the rest for down 1.

Remarkably, we got 87% for that. But down 2 was 96%. my error.


Other roads not taken: Declarer has a 5=2=4=2 shape. Opening 1NT would not have been my choice, but they could have recovered. After 1NT-2 !D - 2 !H - 2NT, I think a bid of 3 !S accepts the invitation and shows five spades. Not passable, simply an offer to play in 4 !S instead of 3NT.

Ok, if I held the 5=2=4=2 hand I would have opened 1 !S. Let's see how that goes. Again, the auction is uncontested. I give you their hands, try to forget that you know just what I have.

!S: Q62
!H: JT943
!D: A2
!C: J95


!S: AKJT3
!H: Q7
!D: K864
!C: A8

You hold the spade hand, everyone vul, mps, Rho deals and passes, and you start with 1 !S. It seems pard bids 2 !S. Where do you end up? Some ended in 4 !S, some in 3. Do you expect to take ten tricks on the lead of the !D 7? How?

Many were in a !S partscore making, you have a pretty good shot at making 4 !S without that !D lead, and for that matter, you perhaps can make 4 with the !D lead, so that's why we got a good score just by setting 3NT one trick. one of those gift things.

https://www.poetryfoundation.org/poems/44272/the-road-not-taken



15
Sleight of Hand / DARE to think about what might have been. (1-24-2022)
« on: January 25, 2022, 02:18:19 PM »
Board 8 presented choices, my choice was not the best, but the bridge fairies were watching over me. And, as is often the case, there are some issues about defense.

Nobody vul, partner deals and opens 1D.

S: T32
H: AKJ432
D: 32
C: JT

The uncontested auction: 1D-1H-1NT-4H. A bit aggressive, the contract is not on ice (or it's maybe on slippery ice)


      S: AQ4
      H: QT5
      D: 7654
      C: AK6


      S: T32
      H: AKJ432
      D: 32
      C: JT


The defense begins, and I think that this was stipulated, D AKT. RHo follows to the AK with spots played in whatever order is encouraging in their agreements, and then Rho plays the DJ on the T and you ruff.

Ok, if hearts are 2-2 and both opponents follow to two rounds of clubs you are making this.
The play goes:
T4: HA
T5,6,7 CAK and ruff a C high:
T8: small H to the board
T9: D from the board tossing a spade, Rho is in and can lead a spade into the AQ or a club for a ruff sluff.

As it happens Rho has only three clubs and that saved me when I went at this wrong. I cashed two hearts ending on the board, then ruffed out the clubs but then had to lead another heart to the board to throw Rho in with the D. If he had another club he would lead it, I would ruff it, then I would take the spade finesse and go down. Lucky me, he did not have another club.



The defensive point: On the third round of D, Rho has the Q and J of D. I think everyone played the J. But that tells me where the Q is. Surely LHO, if he hand started with AKQT of D, would have played AKQ not AKT. So I know the throw-in is working. If Rho plays the Q at T3 I have to wonder where the J is. Restricted choice applies, I guess. After it goes AKT, with Rho playing 8,9, QI can reason that if Lho had started with AKJT then he had a choice at T3 of the J or the T. He would know that only the Q is still out and so either pard has it and declarer ruffs or declarer has it and partner ruffs, so the T and j are equals. So restricted choice says it is more likely that Rho has the missing honor.

In short, playing the DQ at T 3 gives me a puzzle I might work out, playing the DJ at T3 leaves me certain of where the Q is. It's a case of playing the card you are known to hold.

Anyway, the endplay worked, but it had a better chance of working if I had ruffed out the clubs before leading the second heart.

As always, this was an interesting collection of hands. Certainly the endplay was one option, there were other options, and just possible I would have gone with a different option had the DQ been played at T3. My line worked, but is it the best line? No, but maybe ruffing out clubs before the second round of trump and then making the throw-in is best. Your thoughts?

I continue to hope we can discuss these hands back and forth. I enjoy looking back at my choices, especially at my wrong choices.

Added: My general approach to DARE is to think things through afterward on my own, I find it the most useful approach. But with this one I remain curious as to just what the recommended line was.

I am thinking that if Rho's first three cards are the D spots and the DJ then the best line is to cash one H, then play three clubs ruffing the third, then back to the board with a trump, lead the D spot. It works as the cards lie, but is it the best bet, and, if Rho plays the D Q instead of the D J at T3, is it still the best bet? It still works of course, but is it still the best bet (assuming it is seen as the best bet when Rho plays the J at T2)? I have not decided.



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