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About Brink's 6♦...

Dear Ed and Peter,

I think Brink's views on justice are a bit odd. People who gamble on lower odds deserve to win sometimes too! How unjust it would be if you always lose having a 45% chance of winning?

The decision to bid 6 on this hand (those who want to read the whole of Sjoert Brink's article click here; the deal in question is the second one; the NS-hands, but not Sjoert's report, is repeated below, in Ed's reply, -Ed/Peter) is borderline at best. Here is a quick analysis using Deep Finesse (a computer programme capable of analysing whether or not a contract can be made, -Ed/Peter). On 1000 hands we get:
700 hands: both contract makes
164 hands: 6 makes 6NT doesn't
102 hands: 6NT makes 6 doesn't
  34 hands: both contract don't make.

Let's compute the expected IMP gain/loss of bidding 6, with the assumption that NS at the other table bid 6NT.
on 700 hands we lose 2 IMPs
on 164 hands we win 16 IMPs
on 102 hands we lose 17 IMPs
on   34 hands it doesn't matter

Overall: -510 IMPs/1000 hands = -0.5 IMP/hand
Quite a big difference !

So not only the decision to bid 6 is worse than bidding 6NT but all the complaints about justice should be revisited. How the author would feel if his 6 contract makes and he was told that "it's so unjust I can't handle it!".

Regards :)
Piotrek Lopusiewicz

Reply Ed Hoogenkamp (South)

Dear Piotrek,

First let me show the hand for reader's convenience (the whole of Sjoert's article is here:

N/NSK 10
 
 Q 9 7 4
K 8 2
K Q J 4
  windroos  
    
 A 9 3
 
A 6 2
A Q J 9
A 9 5

Of course I sent your question to Sjoert Brink himself. He doesn't agree with your analysis for the following reason: Deep Finesse looks at all the hands! This means that if East has Kx, the programme will record 6NT as a make. It will play the A and duck a heart: 12 tricks!
Of course at the table declarer will go down, playing for the best chance. So, in Sjoert's estimation, of the 820 times that Deep Finesse sees 6NT made, at the table only about 500 will be made, making 6 by far the superior contract.

Sjoert also points out that even with the diamonds 5-1, as they were, the contract still would have been made if the player with five diamonds has three spades (or even two if it is West) and the K as well.

I don't think we need an answer from Pete here, he will surely go down in both contracts....

Un saludo desde Barcelona

Reply Peter van der Linden (North)

Dear Piotrek,

I agree with Sjoert, sorry. Maybe Ed's explanation about why it is confusing to use the results of Deep Finesse in the way you did, needs some clarification (very common after any explanation by Ed...). Here is a very simple example. This is the end position in a no-trump contract:

 K J 10
 
  windroos  
    
 A 9 8  

There are only three tricks left to play and in order to make your contract you need to make all three of them. Earlier on you have discarded a club from the South hand. All other six clubs are still out, so East and West each have three clubs left. Nothing in the bidding or play so far has given you any information about who could have the Q. In short: you have a chance of exactly 50% to make your contract: you either gamble right or wrong when you finesse for the Q.
Deep Finesse however will state that the contract makes, period. After all the programme only analyses whether the contract can be made (and of course it can). It does not calculate the best line of play, so it does not tell you what chance of success a certain line of play offers. So in practice 50 out of 100 declarers will go down.

This is what Sjoert means. Human players will go down if East in the given deal has Kx, though Deep Finesse records the slam as made then!
By the way: Sjoert only mentions Kx in East as a case where Deep Finesse will record 6NT as a make, whereas a human declarer probably would go down. There are many more similar cases. To mention a few:
- If East has fewer than three spades, fewer than five diamonds, fewer than five clubs and the K with two or more hearts (unless K853, West has the bare J10 then): clairvoyant Deep Finesse will cash ten top tricks in spades, diamond and clubs; next he plays a heart from South and covers West's card cheaply; East wins and can only play a heart back, South ducking (if West has the bare J10, of course Deep Finesse will play differently; even a human declarer will usually make 6NT then).
- If East has for instance three or more spades, the line of play above doesn't succeed. But if West has exactly 108 or J8 there is another double dummy possibility: Deep Finesse plays a small heart from South to the 9, losing to East's J/10. After regaining the lead, Deep Finesse crosses to dummy and advances the Q, an intra-finesse.

However I agree with your remark: 'People who gamble on lower odds deserve to win sometimes too.' Let's be glad that if you bid the best slam while others bid a (slightly) inferior slam, you will still rather often lose out.
That is not 'unjust' or 'unfair': it's all in the game!

En hils fra Barcelona

PS: Ed says I would go down in both 6NT and 6. I wonder what made him say that. After all, I made a slam as recently as 2006, while he is still waiting for his first slam to succeed in this millennium (actually, it's more his partner who is doing the waiting...).

 

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