Truco - Baixada

Part II begins where the theory pays off fastest: the one decision every player on eleven must make, hand after hand, with nothing hidden and no future streets to fear. These are the solve's own accept/fold charts, digested for the table.

§ 1

What the decision is

At eleven points the next hand changes shape: the side on eleven looks at its three cards and answers — fold, conceding one point, or accept, playing the hand for three. The decision belongs to the side on eleven whoever dealt, and raises are off the table for the rest of the hand.

That makes it the cleanest question in truco: one look, yes or no. It is also the decision the solve prices most exactly — every chart in this chapter is a certified equilibrium read straight off the solved spots.

§ 2

How to read the charts

The grids are the same ones Part I taught: each mini-chart fixes the lowest card — the L badge — and its axes place the other two. Blue accepts, vermillion folds. Unlike most nodes, the answer here is almost never mixed: of the 403 distinct hands, at most a handful mix at any score. The frontier is a line you can memorize.

Hover or tap a cell and the readout prices both answers: match-win chance if you accept, match-win chance if you fold, and the gap between them in percentage points. Folding is worth the same whatever you hold — its value is the score, not the hand.

§ 3

The charts, score by score

Pick the opponent's score. At 11×10 it matters whether the side on eleven deals the hand or leads it, so that score appears twice.

The solve accepts 44% of dealt hands here · folding wins 63.4% of matches.

L = 4

H \ M	5♥	5♠	5♦	3	2	A	K	J	Q	7	6	4
5♣	100	100	100	100	100	100	100	100	100	100	100	100
5♥		100	100	100	100	100	100	100	100	100	100	100
5♠			100	100	100	100	100	100	100	100	100	100
5♦				100	100	100	100	99	100	100	100	100
3				100	100	100	100	100	100	100	100	100
2					100	100	100	100	100	100	100	100
A						100	100	100	100	100	100	100
K							100	100	100	100	100	100
J								100	100	100	100	100
Q									100	100	100	100
7										100	100	100
6											100	100
4												100

L = 6

H \ M	5♥	5♠	5♦	3	2	A	K	J	Q	7	6
5♣	100	100	100	100	100	100	100	100	100	100	100
5♥		100	100	100	100	100	100	100	100	100	100
5♠			100	100	100	100	100	100	100	100	100
5♦				100	100	100	100	100	100	100	100
3				100	100	100	100	100	100	100	100
2					100	100	100	100	100	100	100
A						100	100	100	100	100	100
K							100	100	100	100	100
J								100	100	100	100
Q									100	100	100
7										100	100
6											100

L = 7

H \ M	5♥	5♠	5♦	3	2	A	K	J	Q	7
5♣	100	100	100	100	100	100	100	100	100	100
5♥		100	100	100	100	100	100	100	95	100
5♠			100	100	100	100	100	100	100	100
5♦				100	100	100	100	100	100	100
3				100	100	100	100	100	100	100
2					100	100	100	100	100	100
A						100	100	100	100	100
K							100	100	100	100
J								100	100	100
Q									100	100
7										100

L = Q

H \ M	5♥	5♠	5♦	3	2	A	K	J	Q
5♣	100	100	100	100	100	100	100	100	100
5♥		100	100	100	100	100	100	100	100
5♠			100	100	100	100	100	100	100
5♦				100	100	100	100	100	100
3				100	100	100	100	100	100
2					100	100	89	100	100
A						100	100	100	100
K							100	100	100
J								100	100
Q									100

L = J

H \ M	5♥	5♠	5♦	3	2	A	K	J
5♣	100	100	100	100	100	100	100	100
5♥		100	100	100	100	100	100	100
5♠			100	100	100	100	100	100
5♦				100	100	100	100	100
3				100	100	100	100	100
2					100	100	100	94
A						100	100	100
K							100	100
J								100

L = K

H \ M	5♥	5♠	5♦	3	2	A	K
5♣	100	100	100	100	100	100	100
5♥		100	100	100	100	100	100
5♠			100	100	100	100	100
5♦				100	100	100	100
3				100	100	100	100
2					100	100	100
A						100	100
K							100

L = A

H \ M	5♥	5♠	5♦	3	2	A
5♣	100	100	100	100	100	100
5♥		100	100	100	100	100
5♠			100	100	100	100
5♦				100	100	100
3				100	100	100
2					100	100
A						100

L = 2

H \ M	5♥	5♠	5♦	3	2
5♣	100	100	100	100	100
5♥		100	100	100	100
5♠			100	100	100
5♦				100	100
3				100	100
2					100

L = 3

H \ M	5♥	5♠	5♦	3
5♣	100	100	100	100
5♥		100	100	100
5♠			100	100
5♦				100
3				100

L = 5♦

H \ M	5♥	5♠
5♣	100	100
5♥		100

L = 5♠

H \ M	5♥
5♣	100

Hover or tap a cell — the readout prices accepting and folding that exact hand.

Walk this spot in the lab: 9x11 v4 →

Plate XI Every solved eleven decision, rendered from the same certified exports as the lab.

§ 4

The shape of the range

From 11×0 through 11×8 the range barely moves: the solve accepts roughly 60% of dealt hands at every one of those scores. What changes is the price of sloppiness. At 11×0 even the worst possible error costs about 2 pp — folding everything still wins you 97.6% of matches from there. By 11×8 the same bad habits cost up to 31 pp.

11×9 is the tight corner. A lost accept hands the match away — nine plus three is twelve — while folding still leaves a comfortable 63.4%. So the range snaps shut: only 44% of hands accept, the tightest chart on this page, and calling with the very worst holding (4 · 4 · 4) is the dearest single mistake anywhere in the chapter, 63 pp of match-win chance.

11×10 splits on the deal. Folding sends the match to 11×11, and that hand's value swings on who deals it. When the side on eleven is dealing here, the fold is under water — 44.7% — so the solve gambles, accepting 62% of hands. Leading instead, it can fold its way to 55.3% and tightens to 37%.