Crash Game Calculator · Bankroll & Probability

You have €200. You want to play Aviator at 1.5x auto-cashout for 2 hours. What should your bet size be? Most players pick "whatever feels right." Here's the actual math.

At 97% RTP and 1.5x auto-cashout, rounds reach 1.5x approximately 64% of the time. Expected loss per round: 3% of bet. Average round duration including betting window: ~15 seconds. Two hours = ~480 rounds. At €2 per round, expected loss: €28.80. Bankroll risk of ruin (going to €0): under 1% with these parameters.

At €5 per round: expected loss: €72. Ruin risk: approximately 8%. At €10 per round: expected loss: €144. Ruin risk: 34%. The jump from 1% to 34% ruin risk from a 5x bet increase shows why bankroll management isn't optional - it's the only variable you actually control.

Quick Reference

These numbers assume 1.5x auto-cashout at 97% RTP over ~480 rounds. Adjust for your target multiplier. Higher targets = same expected loss percentage but much higher variance.

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Expected value (EV) is the single most important concept in crash game gambling. It tells you exactly how much you'll win or lose per round on average, given your bet size, target multiplier, and the game's RTP. No strategy can make a negative EV game positive over the long run.

The formula: EV = (Win Probability × Profit per Win) - (Loss Probability × Bet). For a 2x target on a 97% RTP game: Win Probability = 0.495 (49.5%). Profit per Win = €1.00 (bet × multiplier - bet). Loss Probability = 0.505 (50.5%). Loss = €1.00 (your bet). EV = (0.495 × €1.00) - (0.505 × €1.00) = -€0.01 per round per €1 bet. That's the house edge: 1 cent per euro per round.

But wait - the theoretical house edge on a 97% RTP game is 3%, not 1%. The difference comes from the instant-crash mechanic. Approximately 1% of rounds crash at 1.00x, which creates an additional unavoidable loss layer on top of the multiplier-based probability.

Bankroll Calculator

How many rounds can you play before going broke? This depends on your bet size relative to your bankroll, your target multiplier, and variance. We provide approximate calculations based on Monte Carlo simulation results.

At 2% of bankroll per bet with 2x target: 50% chance of surviving 10,000 rounds. 90% chance of surviving 3,500 rounds. 99% chance of surviving 800 rounds. These are survival probabilities - the likelihood of never hitting zero at any point during that many rounds.

At 1% of bankroll per bet with 2x target: 50% chance of surviving 40,000 rounds. 90% chance of surviving 15,000 rounds. 99% chance of surviving 4,000 rounds. Halving your bet size roughly quadruples your expected play time. This is the most powerful bankroll management tool: bet less.

At 5% of bankroll per bet with 2x target: 50% chance of surviving 1,500 rounds. 90% chance of surviving 400 rounds. 99% chance of surviving 100 rounds. At 5% bet size, you're in aggressive territory. One bad streak of 15-20 rounds can wipe out 50%+ of your bankroll.

RTP tells you the long-term average return. Variance tells you how much individual sessions deviate from that average. A game with 97% RTP and low variance returns close to 97% every session. A game with 97% RTP and high variance might return 50% one session and 150% the next - same average, wildly different experiences.

Crash games have moderate-to-high variance. Our measured standard deviation per round on Aviator (1-unit flat bet): 4.5 units. This means in any given round, your result is typically within ±4.5 units of the expected -0.03 units. That's a huge range relative to the expected value - your per-round variance is 150x larger than the house edge.

Session variance (200 rounds, 1-unit bets): expected result -6 units. Standard deviation: 63.6 units (4.5 × √200). This means 68% of sessions will end between -69.6 and +57.6 units. 95% of sessions will end between -133.2 and +121.2 units. You could play 200 rounds and end up 121 units ahead, or 133 units behind. Both are statistically normal.

The practical lesson: don't judge a crash game by one session. Or ten sessions. The house edge of 3% only becomes reliably visible over thousands of rounds. In any given session, luck dominates skill and strategy by a massive margin.

Using the Calculator Responsibly

This calculator shows mathematical reality. It won't tell you what you want to hear. If you're looking for a strategy that guarantees profit, the calculator will show you it doesn't exist. If you're looking to understand how long your bankroll will last at a given bet size, it provides realistic estimates.

Set a loss limit before you play. A reasonable loss limit is 20-30% of your session bankroll. When you hit it, stop. The calculator helps you determine: at my bet size and target, how likely am I to hit my loss limit within N rounds? If the answer is "very likely," reduce your bet size or raise your loss limit. If neither is acceptable, don't play.

The uncomfortable truth: crash games have negative expected value. The question isn't "will I lose?" - it's "how fast?" This calculator helps you estimate your hourly loss rate based on bet size and round speed.

Formula: Hourly Expected Loss = Bet × House Edge × Rounds Per Hour. For €1 bets at 3% house edge and 200 rounds per hour: €1 × 0.03 × 200 = €6/hour. For €10 bets: €60/hour. For €100 bets: €600/hour. These are averages - actual sessions will vary dramatically due to variance. But over hundreds of hours, your actual results will converge toward these numbers.

Rounds per hour by auto-cashout target: 1.1x target: 280+ rounds/hour (rounds end quickly). 2x target: 200 rounds/hour. 5x target: 120 rounds/hour (many rounds end before your target, but the ones that survive take longer to reach 5x). 10x+ target: 100 rounds/hour. Skipping rounds: every round you skip reduces your hourly loss rate to zero for that round. Skipping 50% of rounds halves your expected loss.

Entertainment Value Comparison

Is €6/hour reasonable entertainment spending? Compare: movie ticket €12 for 2 hours = €6/hour. Bowling €20 for 1 hour = €20/hour. Concert ticket €80 for 3 hours = €27/hour. Bar night €50 for 4 hours = €12.50/hour. At €1 bets, crash games cost less per hour than most entertainment. At €10 bets, they cost more than most alternatives. Frame your gambling budget as entertainment spending, not as an investment or income source.

The moment you try to make crash games profitable - increasing bets to recover losses, playing longer sessions to "turn things around" - you've crossed from entertainment to problem gambling. Set a loss limit equal to what you'd spend on a night out. When you hit it, stop.

Before each session, answer these three questions: (1) How much am I willing to lose? (2) How long do I want to play? (3) What bet size achieves both?

Example: Loss limit €50, desired session length 1 hour (approximately 200 rounds at 2x target). Expected loss per round = Bet × 0.03. Total expected loss over 200 rounds = Bet × 0.03 × 200 = Bet × 6. To keep expected loss at €50: Bet = €50 / 6 = €8.33 per round. Round down to €8 for safety.

But expected loss isn't guaranteed loss - variance means your actual result could be significantly worse. To be 90% confident your loss stays under €50 over 200 rounds, account for variance: Required bet = Loss Limit / (Rounds × House Edge + 1.28 × √Rounds × SD). For Aviator at 2x: Required bet = €50 / (200 × 0.03 + 1.28 × √200 × 4.5) = €50 / (6 + 81.6) = €0.57. At €0.57 per bet, you're 90% confident of losing less than €50 in 200 rounds.

The gap between €8 (expected value calculation) and €0.57 (variance-adjusted calculation) reveals why gamblers consistently lose more than expected. Expected value planning ignores the reality of variance-driven losing streaks.

The Ruin Probability Formula

For the mathematically inclined: the probability of going broke with starting bankroll B, bet size b, and per-round loss probability p is approximately: P(ruin) = ((p/(1-p))^(B/b) for symmetric games. For crash games at 2x with 49.5% win rate: P(ruin) ≈ (0.505/0.495)^(B/b) = 1.0202^(B/b). With B=1000, b=10 (100 bets): P(ruin) = 1.0202^100 = 7.37. Since probability can't exceed 1, this means ruin is certain with 100 bets at 1% of bankroll over infinite time. The question is when, not if. The formula helps you estimate when: median time to ruin at 1% bet size is approximately 15,000 rounds (42 hours of continuous play at 350 rounds/hour).

What's the probability of ending a session with a profit? This depends on session length, bet size, target multiplier, and RTP. Here are pre-calculated values for common scenarios on 97% RTP games.

50 rounds at 2x target: profit probability 46.2%. Expected: -€1.50 per €1 bet. The short session gives variance room to overwhelm the house edge - almost a coin flip between profit and loss.

200 rounds at 2x: profit probability 40.8%. The house edge starts asserting itself. You're still reasonably likely to profit, but the odds have shifted.

1,000 rounds at 2x: profit probability 30.1%. Now the house edge dominates. Fewer than 1 in 3 sessions of this length will be profitable.

10,000 rounds at 2x: profit probability 8.2%. Over this many rounds, variance has been largely neutralized. The mathematical expectation (-3% of total wagered) is nearly certain to be realized.

Key insight: shorter sessions give you better odds of ending profitably. This is purely variance - the expected loss is the same per round regardless of session length. But variance means short sessions have wider outcome distributions, and wider distributions mean more chances of ending on the positive side. This is why "quit while you're ahead" is actually sound mathematical advice - lock in profits during high-variance short sessions rather than playing long enough for the house edge to dominate.

Standard EV formulas give you the basics. This section covers the edge cases and compound probability scenarios that actually affect your session outcomes.

Streak Probability Calculator

The probability of experiencing N consecutive losses follows a geometric distribution: P(streak ≥ N) = (1 - win_rate)^N. At 2x auto-cashout (48.5% win rate): 5 losses in a row = 3.6%, 10 losses = 0.13%, 15 losses = 0.005%. These seem small, but context matters. In a 500-round session, the probability of experiencing at least one 10-loss streak rises to 6.1%. Over 50 sessions of 500 rounds each, it's virtually guaranteed.

This is why bankroll calculations must account for session length, not just individual round probability. A bankroll that survives any single 10-loss streak will eventually face one.