The Art of Good Guessing
During the Baze Seniors Final super-scientist Eric Rodwell was asked what his 3rd seat 3NT bid meant, and he replied, ‘it can be anything I want.’ I was shocked. It was as if Albert Einstein had risen during a symposium at Princeton and said, ‘Gentlemens, forget about Cosmic Evolution for the time beings – tonight Abbott and Costello open at Minsky’s.’ Has Rodwell abandoned a lifetime search for systemic perfection and adopted the unsound method of randomization? Hardly. He was referring to his 3rd seat non-vulnerable 3NT on this hand: ♠ 62 ♥ A2 ♦ AT ♣ AKQ8532, a strange choice with 4 losers, when the hand could be opened a Precision 1♣. Still, it can be a temptation to occasionally bid whatever you fancy, a temptation to which many succumb in the intoxicating spirit of individual freedom. The trouble is they somehow imagine they are increasing their chances of winning rather than merely being a pain in the ass for the others involved.
In the December ACBL Bulletin August Boehm notes that even the concept of captaincy is foreign to many of the younger generation of players. They are overly concerned about how the opponents react rather than where the cards lie. Perception outweighs truth. Yes, bidding blindly does have the potential of increasing the chances of success, if a high scoring contract is reached with little information given up to the defenders. Here is an example of how not to do it from the recent Winter Nationals in India. With both vulnerable North opened a 3rd seat 1NT on ♠ T76 ♥ A5 ♦ AQJ9652 ♣ K. The BBO commentator noted that the most frequent game contract is 3NT, as if this somehow justified this strange start. The second most common game contract is 4M, he noted apologetically, when NS eventually reached 4♠ on a 5-3 fit without North having mentioned his diamond suit. Well if one is going to adopt this mode of operation, why not open 3NT and be done with it? Opening 1NT is misguided deception for its own sake with little upside, whereas 3NT was unbeatable on any lead.
The key to successful master-minding is to guess according to what is most probable given what is known at the time. Guided by the predominance of 3NT contracts, our Indian declarer might imagine a hand opposite that would contain about a third of the missing points and fulfill an 8-7-6-5 division of sides, the most likely division as well as one suitable for a NT contract. In this case one might assume a 4=3=1=5 shape with 8 HCP. So it is not unreasonable to assume a hand opposite that looks something like this: ♠ Kxxx ♥ Qxx ♦ x ♣ QJxxx. On a blind lead the timing may be there to establish the diamonds, and there is nowhere else one would prefer to play the hand.
Here is the actual 8=5=8=5 combination, which in character isn’t that much different from the most likely expectation.
Actually, partner was well stocked in both majors and the ♣JTxx were most useful, so it was not necessary to rely on the diamonds for tricks: 4 spades, 2 hearts, 2 clubs and 1 diamond make up 9 tricks. With 4 losers outside diamonds declarer must not create a 5th by finessing for the ♦K. 4♠ represented a 10 IMPs loss against a diamond partial. Well, one can’t apply this technique if partner’s bidding is all over the lot; someone has to provide real information, otherwise it’s like bingo.
Bidding a Grand Slam
The ACBL Bulletin contains a feature called The Bidding Box in which successful pairs compete in the bidding of 8 hands. The aim of the contest is to present possible bidding sequences using common practices. It is a question of the use of what limited information can be made available, rather than a test of alternative means of obtaining information. Indirectly it is a justification of common practices under trying circumstances. The judge’s scoring is based on a matchpoint scale with a top of 12. In the Dec 2014 issue the victorious pair was a married couple from our local club, Douglas and Sandra Fraser, who play a souped up version of 2/1. Their successes in the NABC Senior Mixed Pairs come as no surprise to those who know and admire their commitment to excellence.
Slam hands are a major component of the contests, and this is where detailed agreements such as those devised by Doug Fraser, come to the fore. Let’s have a detailed look at Problem 5 for which both pairs scored 10 out of 12 for reaching 7♦. The second-seat opener (East) holds 16 HCP and flat hand, for most an automatic 1NT opening bid. Responder holds 11 HCP. General rule: with 26 HCP between the 2 hands, no shortage, stoppers in every suit and a long minor, play in 3NT. However, pairs who bid 1NT-3NT are not likely to win many bidding contests.
Responder holds ♠ A7 ♥ 9 ♦ KT86532 ♣ A76 – 6 losers and 5 controls. A priori the most likely distribution for a 1NT opening bid is 4-4-3-2, and the most likely division of sides is 8-7-6-5. Responder does better by considering the most likely shape given by the a posteriori probabilities based on what he sees in his own hand. Here is a reasonable expectation based on 5=6=9=6 with 15 HCP opposite.
The argument for 3NT goes as follows. The opening lead in a major suit will be useful coming up to the strong NT hand with its tenaces. Slam may come down to playing the diamonds for 6 tricks and just 1 loser somewhat less than a 50% chance. Not many will bid slam on 26 HCP, and if they do they might be defeated. A jump to 3NT could result in a useful opening lead and lots of matchpoints. There is slam potential in responder’s hand, but can one explore slam without fully committing to it?
An aggressive responder might aim for a NT contract and ignore diamonds as a candidate trump suit. He can ask for aces (using Gerber) and hope for 5 cover cards for his 6 losers. That might lead to a risky 4NT, however, the Bidding Box hand is much better than expected (6 controls, not 5) so it proves rewarding to explore in a simple manner.
— |
1NT |
|
4♣ |
4♠ |
Gerber |
5♣ |
5♠ |
2 kings |
5NT |
6♣ |
♣Q |
6NT |
Pass |
Does the fact that the opener has shown the ♦A make it more likely he holds 3 diamonds rather than 2? To get some guidance let’s assume opener has a 3=5=2=3 or a 3=5=3=2 shape. How likely is it that opener was dealt the former rather than the latter? The distributions of sides in these cases are 5=6=9=6 and 5=6=10=5. The shorter diamond hand is more likely in the ration of 5:3. If opener has 3 diamonds, it is 50-50 that he would be dealt the ace. If he were dealt 2 diamonds, it is a 1 in 3 chance he was dealt the ace. Applying these probabilities to the probabilities of being dealt 2 diamonds as opposed to 3, we find the probability of his holding 2 diamonds rather than 3, given he has shown the ace, is 10:9. So, although the presence of the ace is encouraging, it is still more likely it comes from a doubleton rather than a tripleton. Thus responder can expect to have a loser in diamonds more than half the time. Consequently he may sign off in 6NT and the opener will have to pass because he hasn’t been given the information he’d need to overrule his partner. This contract is judged worthy 9/12 matchpoints, so why should we sweat it?
What are the features that make this actual hand better than the likely hand we envisioned initially? The ♥AK and ♣KQ are strongly paired, and, most importantly, opener holds four diamonds to the ace which ensures no loser in the suit. That is, the extra length acts as a cover card (the ♦Q) in trumps. It is better bidding if responder can show diamonds early rather than late, in which case the partners can cooperate in the exploration. It so happens we have a descriptive bid in our arsenal that fits the bill – a response of 3♠ which shows a 6+ card diamond suit with slam ambitions (6 losers or less) including the ♠A or ♠K, denying the heart A or K. The bidding would proceed as follows.
— |
1NT |
|
3♠ |
4♦ |
diamond slam try |
4♥ |
4NT |
heart shortage – RKCB |
5♦ |
5♥ |
1430 – assures slam |
5NT |
6♣ |
grand slam try |
6NT |
7♣ |
♣Q, no ♠K |
7NT |
Pass |
7NT scores a top. The availability of a bid that immediately shows slam interest with a long diamond suit makes the bidding of the grand slam rather easy and less open to guesswork. It is important that opener immediately raise to 4♦, forcing, to set the stage for an exchange of information. The sequence is a cooperative effort in which responder reveals the nature of his hand. There is room for the opener to show the concentration of power in the club suit. Encouraged by this move, responder can count 13 tricks in NT. Finally let’s examine the Frasers’ sequence to 7♦.
Sandra |
Doug |
|
— |
1♦ |
playing a weak NT |
3♣ |
3NT |
limit plus raise |
4♦ |
4NT |
RKCB – 2 aces |
5♣ |
7♦ |
grand slam try accepted |
Pass |
Using a weak NT Doug opened a natural 1♦ which Sandra raised with an artificial 3♣ bid. 3NT showed a strong NT hand, and 4♦ was Roman Key Card Blackwood. 5♣ confirmed all 5 key cards were held without specific reference to the club suit. Sandra was looking for more than an assured 6♦. This is a good sequence: first the fit is established, one hand is limited, then the controls are investigated, a grand slam invited. At this point Doug bid what he thought he could make, choosing 7♦ over 7NT because he deemed it safer. He did not know the extent of Sandra’s support in diamonds. Doug mentioned to me that he did not take into account that this was a bidding contest problem, a fact that would change the probabilities, but merely bid as he would in a real matchpoint session where safety is a very important factor when choosing between slam alternatives. The only feature that the opener has yet to reveal is the ♣Q. If he were able to do so safely, it might have been enough for Sandra to put the frosting on the cake (Forgive me the domestic reference.)
Miracles Do Happen
It was Comte Pierre Simon Laplace who famously boasted to Napoleon that he could explain the motions of the planets without the need to assume divine intervention. I wonder how he would do explaining the miraculous result on the following deal played late in a Swiss Team event held a church hall where divine intervention is not to be ruled out. How would you and your partner bid these cards to the obviously successful Grand Slam?
Our bidding was simple: 1♥ (oops!) – 1♠; 4NT – 5♠; 7♠ – Pass. Partner pulled the wrong card (1♥) from the bidding box which set in motion a strange sequence of bids. Only after I responded in his long suit did my partner notice his slip. Knowing it would be impossible to correct the initial impression, he took charge with RKCB and found great controls opposite, which was unlucky in a way. Fearing the opponents would easily get to a small slam after a normal start of 1♠ – 2NT, he guessed for a winning score. Bidding 7♠ was based on a combination of faith, hope, and the possibility of charity.
What, we may wonder, would have happened if divine intervention had not guided his thumb? Probably we would have got to 6♠, and still won the match as the Good Lord took out insurance and had the opposition stop in game.
Lesson: Any action, however bad, carries with it a chance of success, however small. The consequences with regard to human behavior continue to be largely detrimental.
HI Bob,
I appreciate all the time and effort you exert involving numbers, percentages and interesting analyses about bridge .. and in a way we are kindred spirits.. same bridgeblogging site, love of the game and profound interest in its betterment. However, your opening sentence caused me to stop dead in my tracks. No doubt Eric Rodwell may be considered the most knowledgeable bridge theoretician of our day. However, to my way of thinking, it does not justify his response in your opening line:
“Eric Rodwell was asked what his 3rd seat 3NT bid meant, and he replied, ‘it can be anything I want.” Since when? Says who??? and .. Who died and left him boss?? (By the way, I understand this applies only when NV). This concern is not only a personal one .. but is substantiated in the minds of multitudes of knowledgeable, bridge-educated, successful, respected, fair minded, honorable competitors who want to preserve the beauty, elegance, legitimacy, honor and majesty of the game. It brings to mind the term ‘poison gas lab” which allows any such culprit/s to manufacture anything that is destructive to mankind (in our case … bridge) with no accountability or forewarning. It could be XX AX A10 AKQXXXX .. but HOLD ON, it could also be X X 10XXX QJ10XXXX. Is this what bridge is all about these days? Indeed, at the very least, the two types of hands noted above and/or any other similar variation in that grouping MUST, in a timely fashion) aggressively and promptly be brought to the attention of whomever their opponents happen to be.
To me it is more like chicanery, sorcery or witchcraft where the unsuspecting victims have no way (or time) to prepare themselves for impending disaster. Another condition, as I understand the concept, is that partner must pass (unless under astounding justified circumstances). At the very least, nuances must be pre-alerted and their opponents given the chance to discuss the defense. For example: What does an immediate double mean vs. a Pass? Advance actions such as doubles and potential passes must be discussed too. But WHEN do the opponents learn about this variation? Are not the opponents entitled to be forewarned in ample time to protect themselves? If in a timed pair contest (where two or three boards are involved), how do the opponents have time to design methods to cope with complicated tactics to guard against the onslaught? Spontaneous disclosure in itself is hardly adequate to put one on an even keel as who (on the spot) can devise successful methods for handling the possibility of this potential volcanic undoing? Also, in knockouts, the concept of “chance” enter the picture .. as to who faces this pair/team .. and should not impose such a disadvantage.
No wonder decent (but naive) players stay away from the major events for fear of being targeted by such sketchy descriptions of deliberately destructive tactics used to prey upon the enemy. And, when beginners read about such confusing and treacherous M.O.s .. is it any wonder they turn their future interests in another direction. Bridge is difficult enough in itself.
“It can be anything I want.”
Mmmmmmmmmmmmmmmm. I DON’T THINK SO!
Wow! I’m sure Rodwell was being facetious with a 50 IMP lead late in the match. The player who asked was a frequent foe, Caesare Balicki, not some innocent guy off the street, like me, for instance.
I guess he was tired of being asked again and again, ‘what does that mean?’ I have always assumed the top players are more honest than the average player, who may not even realize they are doing something wrong. No, the second tier pros are the ones who should know better.
Hi Bob: Thanks for your prompt answer. I have a very good sense of humor, but that response when you are killing the enemy by 50, is not very funny to me. And.. when a player is asked the same question repeatedly, perhaps it is time to take stock of the situation. Whether done with intent to confuse and gain advantage or not, it is still a disruptive element.
Excluding the above issue, I have learned over the years (especially as an avid kibitzer in world competition), all that glitters is not gold. I have two husbands who could bear witness to that fact! Sorry to be so candid, but I have been closer to those situations than most and speak from the heart.
Thanks for the insight. Wisdom comes from experience. As an optimist I am always prepared to believe what an opponent tells me. It’s easier to live that way. On the other hand I am always ready to follow where my intuition leads me.