Baccarat martingale simulator

This runs the martingale progression on the baccarat Player bet, using the standard 8-deck probabilities — Player 44.62%, Banker 45.86%, tie 9.52%, ties pushing the bet. Preloaded with a $1,000 bankroll and a $10 base bet.

Scenario

Current game: Baccarat · Player — each round wins with probability 44.62%, paying 1 to 1, and pushes (stake returned) with probability 9.52%.

Drag this first. It changes the conclusion more than anything else on the page.

Advanced — win chance, payout, push, table limits, seed

Rounds are capped at 100,000.

20.9% of sessions finish ahead — typically by $2,220.

84.7% run out of bankroll or can no longer place the next required bet, typically down $530.

Across all 50,000 simulated sessions the expectation is −$82.

Estimated from 50,000 simulated sessions and still converging. Figures carry a margin of error that narrows as the run completes.

startmedianmean
Ending bankroll. Grey shows flat betting on the same scenario. Estimated by simulation.

Expected versus typical

Expected ending bankroll
$918

The average across every simulated session (−$82).

Typical ending bankroll
$520

What the middle session experienced (−$480).

These differ because the distribution is lopsided. The average is pulled by outcomes that occur rarely; the median describes the session in the middle.

Preparing sample paths…

Outcomes

Finish ahead
20.9%
Finish behind
78.9%
Bankroll exhausted
0.6%

Could not place even the minimum bet.

Strategy could not continue
84.0%

The next required bet exceeded the bankroll or the table maximum, with money still left.

Full detail — percentiles, risk metrics, and the exact figures

Distribution of ending bankroll

P1
$10
P5
$70
P25
$390
P50
$520
P75
$840
P95
$3,320
P99
$3,440

Risk

Average largest bet
$577
Median maximum drawdown
$1,270
Average longest losing streak
7
Average total wagered
$6,668

Exact figures

Computed in closed form. No simulation, no margin of error.

Expected loss per $100 wagered
$1
Fair payout for this win chance
1.0277 to 1
Break-even win chance at this payout
45.24%
Chance the next 10 resolved rounds all lose
0.11%
Chance of at least one 10-loss streak within 500 rounds
23.89%

A different question from the one above, and a much larger number.

Typical longest losing streak
8

95th percentile: 12.

What the ties change — and what they do not

A tie returns the stake and leaves the doubling ladder exactly where it was, so streak arithmetic runs over resolved hands only. Over 50,000 simulated sessions, 20.9% finish ahead while 84.7% end unable to continue the progression, typically down $530. The expected loss stays at $1 per $100 wagered — exactly the Player bet's house edge, progression or no progression.

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