Rankplan

Working notes on the odds behind card and table games

19 July 2026

Blackjack basic strategy is a table, not a feeling

Filed under: Card games, Table gamespermalink

Basic strategy is a lookup table produced by exhausting every dealer outcome, not a feel for the shoe. It answers one narrow question completely: given your total and the dealer's up card, which single action has the best expected result under this rule set?

How the table is produced

For each combination of player total and dealer up card, every legal action is evaluated by working out the full distribution of dealer final hands and the resulting settlements. The action with the best expectation is recorded. Repeat across every cell and the table is finished. There is no judgement in it and no room for preference.

Why the table changes with the rules

Because the table is derived from the rules, it moves when they move. The number of decks, whether the dealer draws on a soft seventeen, whether doubling after splitting is allowed, and what a natural pays all shift individual cells. A table copied from a game with different rules will be right in most cells and quietly wrong in a few, which is the hardest kind of wrong to notice.

What it does not do

Basic strategy does not remove the house edge; it minimises it for the rules in play. It also says nothing about how much to stake, and it makes no claim about a particular shoe, since it assumes no knowledge of the cards already dealt. Treating it as a system for winning misreads what kind of object it is.

Reading a cell honestly

Each cell is an average over many hands, not a prediction about the hand in front of you. Following it will feel wrong regularly, and it will still be the best available action, because the cell was chosen by comparing complete outcome distributions rather than the memory of the last few hands.

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