Research

Controls and losers beat points below game

A study of 100,550 deals. Controls and losers find slams a point count never reaches, but one hand cannot decide alone: the pair has to show them to each other below game.

The problem it solves

Some slams hold far fewer than the 33 points the point count asks for, because the two hands hold every control and few losers. A hand looking at four of its major has to decide whether to bid game or make one more try below it. This measures which hands should try. “Slam is sound” below is the share of hands where the small slam made on at least three-quarters of the redeals, and “points a deal” is what bidding six gained over bidding four.

One hand alone cannot decide

Judged on its own hand only, the player who is thinking about a slam is wrong more often than right. These are the hands at the point where four of the major is the alternative:

The hand at the four-of-the-major decisionHandsSlam is soundPoints a deal
5 or more controls (ace 2, king 1) and 6 or fewer losers7,81627%−88
6 or more controls and 5 or fewer losers3,06436%+7
7 or more controls and 5 or fewer losers1,69341%+50

So a hand with fine controls and few losers should not bid a slam by itself. What it should do is ask: a control bid below game costs nothing, and the answer is what makes the difference.

Two hands together decide

The two handsSidesSlam is soundPoints a deal
The try (6 or more controls, 6 or fewer losers) opposite 4 or more controls and 7 or fewer losers72680%+444
Both hands 5 or more controls and 6 or fewer losers46884%+490
Both hands 4 or more controls and 6 or fewer losers1,54660%+254
12 or fewer losers and 10 or more controls between the hands2,50079%+437

These are the slams a point count never reaches. The sample held 416 such sides with under 30 high-card points, of which 263 make a slam. The app bid 128 of those, and on 90 of the ones it missed, neither player ever made a slam try.

What BidMaestro does with this

The rule as measured is not in the app. It was built and tried: with a major agreed and game certain, a hand holding five or more controls and six or fewer losers would show a control below game instead of bidding game. Inside the app’s existing control-bidding sequences those numbers turned sound slams into stops in game, so it was withdrawn.

Most of the ground it covers is now held another way. With Serious 3NT switched off, once a two-over-one has agreed a major, any hand holding a control below game shows it, which is what this study argues for on the hands it measured. With Serious 3NT on, 3NT stays the slam try and a control bid keeps that convention’s meaning.

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