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Baixada · Study · Field guidePart I · The solve, and how to read it
Chapter iv

Ranges — the hands still possible

A range is not a vague feeling about what somebody might hold. It is the complete set of hands still possible at this decision, with a weight on each one. The line you watched filters that set: a hand that rarely chooses the observed actions becomes a small bar; an impossible hand disappears altogether.

§ 1

Build a range, then read it

Start with [? ? ?] for every legal three-card hand. Fix cards by typing their notation, clicking a slot and selecting a card, or dragging it onto a slot; all three inputs stay synchronized. GRID always draws every matching block. Its brass badge changes only the split — H, M, or L — while LIST gives the same arriving range as rows. Choose any holding to make it exact.

YOUR RANGE

Type a hand, click a slot to choose a card, or drag one onto a slot. ? keeps that card unknown.

403 matching handsshare of the arriving range

Every shaded cell is a dealable holding. <0.1% means a tiny share, not a blocked hand.

H \ M5♥5♠5♦32AKJQ764
5♣<0.1%<0.1%<0.1%0.1%0.1%0.1%0.1%0.1%0.1%0.1%0.1%<0.1%
5♥<0.1%<0.1%0.1%0.1%0.1%0.1%0.1%0.1%0.1%0.1%<0.1%
5♠<0.1%0.1%0.1%0.1%0.1%0.1%0.1%0.1%0.1%<0.1%
5♦0.1%0.1%0.1%0.1%0.1%0.1%0.1%0.1%<0.1%
30.2%0.5%0.5%0.5%0.5%0.5%0.5%0.5%0.1%
20.2%0.5%0.5%0.5%0.5%0.5%0.5%0.1%
A0.2%0.5%0.5%0.5%0.5%0.5%0.1%
K0.2%0.5%0.5%0.5%0.5%0.1%
J0.2%0.5%0.5%0.5%0.1%
Q0.2%0.5%0.5%0.1%
70.2%0.5%0.1%
60.2%0.1%
4<0.1%
H \ M5♥5♠5♦32AKJQ76
5♣<0.1%<0.1%<0.1%0.2%0.2%0.2%0.2%0.2%0.2%0.2%0.1%
5♥<0.1%<0.1%0.2%0.2%0.2%0.2%0.2%0.2%0.2%0.1%
5♠<0.1%0.2%0.2%0.2%0.2%0.2%0.2%0.2%0.1%
5♦0.2%0.2%0.2%0.2%0.2%0.2%0.2%0.1%
30.3%0.7%0.7%0.7%0.7%0.7%0.7%0.3%
20.3%0.7%0.7%0.7%0.7%0.7%0.3%
A0.3%0.7%0.7%0.7%0.7%0.3%
K0.3%0.7%0.7%0.7%0.3%
J0.3%0.7%0.7%0.3%
Q0.3%0.7%0.3%
70.3%0.3%
6<0.1%
H \ M5♥5♠5♦32AKJQ7
5♣<0.1%<0.1%<0.1%0.2%0.2%0.2%0.2%0.2%0.2%0.1%
5♥<0.1%<0.1%0.2%0.2%0.2%0.2%0.2%0.2%0.1%
5♠<0.1%0.2%0.2%0.2%0.2%0.2%0.2%0.1%
5♦0.2%0.2%0.2%0.2%0.2%0.2%0.1%
30.3%0.7%0.7%0.7%0.7%0.7%0.3%
20.3%0.7%0.7%0.7%0.7%0.3%
A0.3%0.7%0.7%0.7%0.3%
K0.3%0.7%0.7%0.3%
J0.3%0.7%0.3%
Q0.3%0.3%
7<0.1%
H \ M5♥5♠5♦32AKJQ
5♣<0.1%<0.1%<0.1%0.2%0.2%0.2%0.2%0.2%0.1%
5♥<0.1%<0.1%0.2%0.2%0.2%0.2%0.2%0.1%
5♠<0.1%0.2%0.2%0.2%0.2%0.2%0.1%
5♦0.2%0.2%0.2%0.2%0.2%0.1%
30.3%0.7%0.7%0.7%0.7%0.3%
20.3%0.7%0.7%0.7%0.3%
A0.3%0.7%0.7%0.3%
K0.3%0.7%0.3%
J0.3%0.3%
Q<0.1%
H \ M5♥5♠5♦32AKJ
5♣<0.1%<0.1%<0.1%0.2%0.2%0.2%0.2%0.1%
5♥<0.1%<0.1%0.2%0.2%0.2%0.2%0.1%
5♠<0.1%0.2%0.2%0.2%0.2%0.1%
5♦0.2%0.2%0.2%0.2%0.1%
30.3%0.7%0.7%0.7%0.3%
20.3%0.7%0.7%0.3%
A0.3%0.7%0.3%
K0.3%0.3%
J<0.1%
H \ M5♥5♠5♦32AK
5♣<0.1%<0.1%<0.1%0.2%0.2%0.2%0.1%
5♥<0.1%<0.1%0.2%0.2%0.2%0.1%
5♠<0.1%0.2%0.2%0.2%0.1%
5♦0.2%0.2%0.2%0.1%
30.3%0.7%0.7%0.3%
20.3%0.7%0.3%
A0.3%0.3%
K<0.1%
H \ M5♥5♠5♦32A
5♣<0.1%<0.1%<0.1%0.2%0.2%0.1%
5♥<0.1%<0.1%0.2%0.2%0.1%
5♠<0.1%0.2%0.2%0.1%
5♦0.2%0.2%0.1%
30.3%0.7%0.3%
20.3%0.3%
A<0.1%
H \ M5♥5♠5♦32
5♣<0.1%<0.1%<0.1%0.2%0.1%
5♥<0.1%<0.1%0.2%0.1%
5♠<0.1%0.2%0.1%
5♦0.2%0.1%
30.3%0.3%
2<0.1%
H \ M5♥5♠5♦3
5♣<0.1%<0.1%<0.1%0.1%
5♥<0.1%<0.1%0.1%
5♠<0.1%0.1%
5♦0.1%
3<0.1%
H \ M5♥5♠
5♣<0.1%<0.1%
5♥<0.1%
H \ M5♥
5♣<0.1%
VI A range is every hand still compatible with what you know; its bars add to 100%.
§ 2

Blockers — why hands disappear

A blocker is just a card that is already visible, so it cannot also be in a hand. The vira removes one copy before anybody acts; each open card in the line removes another. That is a physical deck constraint, not a solver preference. The lab greys choices with no copies left, and the range editor refuses them too.

A visible dealChance Pé holds at least one 3
Mão · your rangeH ≥ M ≥ L
Vira
Pé · hidden hand
8.1%opponent has a 3

Click a card in Mão's hand to pin or clear it. The visible vira and every pinned card are removed from the deck before Pé's hidden hand is counted.

VIIThis percentage is conditioned on the cards visible at this table — not an abstract deck baseline. The vira picker deliberately excludes 2.