The 1–3–2–6 Blackjack System

Define the unit and the four steps

1. Start the cycle with a one-unit opening wager.
2. After an ordinary win, the next step stakes three units.
3. After another ordinary win, the third step stakes two units.
4. After the third win, the fourth step stakes six units.
5. After any loss, reset to the first step if a new cycle is played.
6. After a fourth win, the cycle is complete and also resets.

In the push convention used here, repeat the current step without advancing the count. The simple calculations otherwise assume ordinary 1:1 wins, full-stake losses and no additional wagers.

The Wizard of Odds description of 1–3–2–6 sets out the sequence and tie convention. Read its game-specific analysis in its own context rather than borrowing probabilities from another game for blackjack.

Use our betting-systems overview for the distinction between stake patterns and decisions with the cards.

Convert units into actual stake amounts

For a fictional C$4 base unit, the four requested opening stakes are C$4, C$12, C$8 and C$24. These are examples, not verified chip denominations or table limits at a listed casino.

The six-unit fourth stake is the largest requested opening wager. The complete four-step path places 12 units of initial stakes: 1 + 3 + 2 + 6. At the example unit, that totals C$48.

Do not confuse that cumulative wagering with the starting deposit or a maximum possible session loss. Returned funds can be wagered again, and later hand actions can add stakes that the simple sequence has not included.

A new cycle at one unit is a reset of the next stake, not a reset of the account balance or a cancellation of earlier losses.

All five completed-cycle outcomes

W means an ordinary 1:1 win and L a full-stake loss. Stop the cycle at the first loss or after four wins. The figures exclude pushes, naturals, doubles, splits, side bets and fees.

A loss at the second step gives 1 − 3 = minus two units. Losing at the third gives 1 + 3 − 2 = plus two. Losing at the fourth gives 1 + 3 + 2 − 6 = zero.

Four ordinary wins give 12 units of profit. In that winning example, C$48 staked returns C$96 including the stakes, leaving C$48 profit.

The rows are possible branches, not equally likely outcomes. Counting three non-losing rows out of five does not establish a 60% chance of avoiding a loss.

Give the branches probabilities before averaging them

For an original teaching calculation, suppose each result is an independent 50/50 win or loss with ordinary even-money profit. There are no pushes or additional blackjack outcomes in this fictional model.

The five cycle probabilities are 1/2 for L, 1/4 for WL, 1/8 for WWL, and 1/16 each for WWWL and WWWW. They add to one; they are not one-fifth each.

Multiplying each probability by its net result gives −0.5 − 0.5 + 0.25 + 0 + 0.75 = zero expected units per cycle.

Under those assumptions, a full four-win cycle has probability 1/16, or 6.25%. This is not a claimed four-win probability for actual blackjack.

The fair-game example demonstrates why branch sizes and probabilities both matter. It does not predict session length, a casino account’s results or the probability of finishing ahead after many cycles.

A two-unit cycle loss is not a session-loss limit

In the restricted completed-cycle table, the worst net branch is minus two units. That statement depends on the listed even-money stakes, stopping rules and excluded outcomes.

Three separate WL cycles lose two units each: six units altogether. With a C$4 base, that is C$24 lost despite no individual cycle losing more than C$8.

The fourth-step wager also risks six units at once, even though previous wins can offset that loss in the simplified cycle ledger. A net-cycle calculation and the amount currently on the table measure different things.

Earlier gains are part of your balance. Calling the last stake “house money” does not make it risk-free or remove its effect on the closing balance.

Set a spending amount and finish time independently of the sequence. Repeating a reset cannot erase an earlier loss.

Check whether the selected table supports the stake sizes

The saved records below cover Jackpot City, Spin Casino, Royal Vegas, Ruby Fortune and Betway. They do not establish identical blackjack minima, maxima or chip increments across every game and region.

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Read the largest step before starting the first

At the fictional C$4 base, a C$20 opening-stake maximum would prevent the C$24 fourth step. A minimum above C$4 would prevent the first step instead.

Reducing C$24 to C$20 changes the sequence and its outcomes. After three ordinary wins have earned C$24, a C$20 loss leaves C$4 profit rather than the original zero branch. It is a different model, not the same result with a convenient substitute.

Check accepted denominations, available funds and additional-stake rules. A requested wager may fit the table’s opening limit while a later action creates a separate funding question.

Read bonus terms independently for promotional maximum-stake definitions and eligibility. Acceptance by the game does not alone establish that an offer permits the wager.

A push repeats the step and can extend the cycle

With the stated convention, a push returns the stake without profit and leaves the step unchanged. It does not count as another win.

Consider win, push, win, loss. The opening stakes are one, three, three and two units. Net result is 1 + 0 + 3 − 2 = plus two units.

Gross initial wagering is nine units because the three-unit push was a real wager. At C$4 per unit, C$36 was staked and the cycle earned C$8 net.

The same two wins followed by a loss without that push stakes only six units. Thus a cycle can have the same net outcome but different turnover and more physical rounds. “Four steps” does not guarantee completion in four deals.

Naturals and extra stakes change the simple figures

Suppose the first C$4 stake wins a natural at 3:2 profit. It earns C$6. If a written convention advances one step for that win and the following C$12 stake loses, the net is minus C$6, rather than the table’s minus C$8.

Alternatively, consider an ordinary C$4 first win followed by a C$12 hand doubled for another C$12 and lost. Profit of C$4 minus the C$24 loss leaves minus C$20, or five base units.

That second example exceeds the two-unit completed-cycle loss from the restricted table because an extra stake was introduced. Do not carry the original loss claim across changed assumptions.

Mixed split results, surrender and side wagers also need explicit accounting and a trigger convention. Read blackjack payouts to separate the returned stake from profit.

Keep the stake sequence separate from basic strategy

The numbers one, three, two and six do not tell you whether to hit, stand, double or split. They specify opening amounts after the chosen result trigger.

Use basic strategy matched to the rules for the hand decision. Refusing an action merely to preserve a simplified cycle table changes how the game is played; adding it changes the money committed.

OLG PlaySmart discusses outcome-based betting progressions and the belief that recent results predict a win. A progression does not supply a favourable next hand.

Cards removed from a finite shoe can affect its composition, so do not confuse the independent fair-game illustration with a full blackjack model. See odds and house edge for expectation and stake bases.

Compare the trigger and the full record

Flat betting holds the opening unit constant. The Paroli example increases through one, two and four after wins. Martingale increases after losses instead.

Read Martingale versus Paroli for a complete finite-path comparison. Do not judge 1–3–2–6 against another system by selecting only a successful cycle.

Use the same stopping horizon and include unfinished cycles, actual extra stakes and table-limit stops. A count of wins is incomplete without the amounts won and lost.

Check three 1–3–2–6 calculations

Use practice play where available to read the controls and settlement labels. A successful practice cycle does not establish a profitable real-money method.

Keep the stopping rule outside the cycle

Record each actual opening amount, extra stake, result and reset. Retain any incomplete cycle in the session total rather than excluding it because the next wager was unavailable.

Stop at the planned time or spending amount without extending play to reach a fourth win. Our responsible gambling page provides support information. Send corrections to editor Shayne Currie with the precise rule assumptions and arithmetic.

1–3–2–6 blackjack FAQs