Two simulated tracks of 1,000,001 cards each, dealt from the same shuffles. On the first, OddsOfBlackjack decides every hand and two bet-sizing rules are played side by side: OOB Graduated and OOB Selective. On the second, Basic Strategy plays every hand with a flat bet. Every stake uses a fixed $10 unit, and every account starts from $1,000.
Looking for the first one-million-card track (+$7,570) cited in Technical Whitepaper V1? It is a separate experiment, kept unchanged in the first-track archive.
Both OOB rules read the same pre-bet EV of the shoe and play the same decisions; only the initial bet differs. Each lower bound is inclusive. Doubles and splits add the same initial bet again. In this simulation one unit was always $10.
| Pre-bet EV | OOB Graduated | OOB Selective | Basic Strategy — Flat BetBS flat |
|---|---|---|---|
| Below −1.0% | No bet | No bet | 1× |
| −1.0% to below +0.1% | 1× | 1× | 1× |
| +0.1% to below +0.2% | 2× | 2× | 1× |
| +0.2% to below +0.3% | 3× | 2× | 1× |
| +0.3% to below +0.5% | 4× | 2× | 1× |
| +0.5% to below +0.7% | 6× | 2× | 1× |
| +0.7% to below +0.9% | 8× | 2× | 1× |
| +0.9% to below +1.1% | 10× | 2× | 1× |
| +1.1% and above | 12× | 13× | 1× |
Basic Strategy — Flat Bet bets 1× unit on every round, with no EV filter. The OOB track observes 51,433 rounds without a bet (pre-bet EV below −1.0%).
R is the realised net result: everything won minus everything staked, before any refill. Every line starts at $0. Use the buttons to show or hide each account; OOB Selective is hidden at first.
| Measure | OOB Graduated | OOB Selective | Basic Strategy — Flat Bet |
|---|---|---|---|
| Net result R (USD) | +$8,575 | +$1,490 | −$12,285 |
| Model contribution C (USD) | +$4,089.20 | +$741.18 | not available |
| Maximum drawdown of R (USD) | $10,560 | $8,580 | $15,395 |
| Lowest R (USD) | −$1,810 | −$2,190 | −$12,500 |
| Highest R (USD) | +$18,405 | +$7,730 | +$2,895 |
| Initial stakes (USD) | $2,404,630 | $1,881,710 | $1,873,820 |
| Total staked, including doubles and splits (USD) | $2,663,240 | $2,080,620 | $2,064,520 |
| Largest initial bet (USD) | $120 | $130 | $10 |
| Rounds with a bet / observed without a bet | 135,962 / 51,433 | 135,962 / 51,433 | 187,382 / 0 |
| Refills of $1,000: number / total (USD) | 1 / $1,000 | 2 / $2,000 | 12 / $12,000 |
| Final balance (USD) | $10,575 | $4,490 | $715 |
| Cards on the track | 1,000,001 | 1,000,001 | 1,000,001 |
OOB Graduated ended +$8,575 and OOB Selective +$1,490 on the same OOB track; Basic Strategy — Flat Bet ended −$12,285 on its own track. C is available for the OOB accounts only: no EV model is attributed to Basic Strategy. The difference between R and C is the realised outcome minus the model contribution; it is not attributed entirely to variance.
The OOB track carried three more accounts with the same decisions and the same participation; only their stakes differ. All use a constant $10 unit, start from $1,000 and receive a $1,000 refill only when a stake cannot be covered.
| Variant | Levels | R (USD) | C (USD) | Max. drawdown | Initial stakes | Refills | Largest bet |
|---|---|---|---|---|---|---|---|
| V1 | 1× to 12× unit, rising with EV (edge per unit 0.20%) | +$1,535 | −$136.14 | $7,585 | $1,863,270 | 1 | $120 |
| VERDE | 1× / 2× / 8× unit | +$1,115 | −$1,284.09 | $5,805 | $1,745,860 | 1 | $80 |
| ROZ | 1× / 2× / 8×–16× unit (by EV above +1.1%) | +$1,295 | +$804.26 | $8,790 | $1,869,000 | 2 | $160 |
VERDE and ROZ use the same thresholds below +1.1% as OOB Selective (no bet below −1.0%, 1× to +0.1%, 2× to +1.1%). V1 has the shape of OOB Graduated with an edge per unit of 0.20%.
Both tracks were produced by the OOB simulator from the same sequence of shuffles: an 8-deck shoe dealt to the cut card. On the OOB track every playing decision is taken by the engine from the exact remaining composition and the pre-bet EV is recorded before each round; rounds below −1.0% are observed without a bet. On the Basic Strategy track every round is played with Basic Strategy decisions and a 1× bet. Because decisions differ, the two tracks consume the cards differently and do not play identical hands.
Every account was simulated with its own balance and full accounting: each stake, double, split and payout, round by round. One unit was always $10, independent of the balance.
| Dataset | Second simulation, 167 completed batches on each track, seed 20261006, completed 11 October 2026; two tracks with the same shuffles: OOB and Basic Strategy |
| Game rules | 8 decks, cut card at 208 of 416 (50% penetration), dealer stands on soft 17, no hole-card peek, double on any two cards, no double after split, up to 2 hands from a split, no resplitting aces, no hitting split aces, no surrender, blackjack pays 3:2 |
| Engine build | OOB-ENG-b0681ede84a3 (historical; the current engine is OOB-ENG-992c737432c3) |
| Simulator | OOB-M6-de23a88e2d14 |
| OOB journals (SHA-256, aggregate) | 2eb7700c818a7b885c0602007fad9a6a260c8239af90296b9684c6adb5ffa43a |
| Basic Strategy journals (SHA-256, aggregate) | 6e8fc60e7eb7c6bf331f2b0ac6a5e2569c0d868de028b412cf1e11b96679736c |
| Accounting check | For every account and every round, R changes exactly by the round result, and the balance equals $1,000 plus refills plus R. |
An earlier, separate experiment reported +$7,570 for the Selective (MOV) ramp applied retrospectively to one simulated OOB track of 1,000,005 cards (seed 20261001), with no Basic Strategy track. Technical Whitepaper V1 describes that first track and cites this address for it; its chart and figures are kept unchanged at One Million Cards: First Track (Archive). Its result and this comparison come from different simulations and are not added together.