The simplest Banker row in a complicated chart
Most of the Banker third-card table in standard punto banco depends on the Player hand’s third card. There is one unusually simple row: whenever the Banker's first two cards total 0, 1 or 2 and no natural has occurred, Banker draws a third card. This is an automatic game procedure, not a decision by the person sitting in the Banker betting area. It completes the story told by our guide to Banker totals of four, five and six; those higher totals have conditional draw rules, but zero through two do not.
Check naturals before applying the rule
The first four cards are dealt to form two-card Player and Banker hands. If either hand is a natural eight or nine, no additional cards are dealt to either hand, regardless of the other hand's low score. For example, suppose Player begins with 4 and 5, scoring nine, while Banker begins with 10 and 2, scoring two. Player has a natural nine. Banker does not draw even though its total is two. Any summary saying “Banker always draws on two” without the natural check omits a critical condition. See the natural-hand stopping rule for this first decision.
Worked example: Player draws, Banker also draws
Suppose Player starts with 2 and 3: opening total five, so Player receives a third card. If that third card is an eight, the Player finishes (2+3+8) mod 10 = three. Banker starts with a king and a queen, which each score zero; its opening total is zero. Banker must take a third card, whether Player’s third card was eight, zero or another value. If Banker then receives a six, its final total is six and Banker wins six to three. Change the Banker's final card and the outcome might change, but the mandatory draw decision did not.
Worked example: Player stands, Banker still draws
Now let Player start with 4 and 2, a total of six. It must stand. Banker starts with ace plus ace, a total of two. There is no natural. Banker therefore draws a third card. If the Banker receives a three, its total becomes five and Player wins six to five. The Player's standing decision does not let Banker stop on two. This is a useful way to read the chart: first evaluate naturals; next decide whether Player drew; then apply the correct Banker branch. Under the standing branch, Banker draws on 0–5, encompassing 0–2.
Why Player’s third card cannot cancel a low Banker draw
When Player has drawn, Banker’s total of three will stand against a Player third-card eight; a four draws only against 2–7; a five only against 4–7; and a six only against 6–7. None of those restrictions applies to an opening Banker total of 0, 1 or 2. If a chart has a row labelled “0–2,” every possible Player third-card value from zero through nine leads to a Banker draw, provided the round did not already stop on a natural. A ten, jack, queen or king in the Player third-card position counts as zero for this purpose. The complete Baccarat third-card chart shows how the decisions fit together.
Source, scope and a final distinction
The automatic rule is specified in the New York regulation for mini- and midi-baccarat, section on third-card determination, and agrees with standard punto banco rule charts. This is an example of rules, not a forecast: seeing a Banker opening two does not reveal its third card or guarantee it will finish ahead. A card display could use a different approved variant, so a real table’s posted rules always take priority. The Banker hand is a scoring position, not the casino or the dealer, and the draw decision cannot be overridden by someone wagering on it.