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Gambler's Ruin Calculator
x402
Gambler's Ruin Calculator is a paid API for AI agents from probability-calc.x402tookit.com, paid per call via x402, $0.02/call, status unknown (last checked 2026-10-29).
Calculates the probability of going broke before reaching a target bankroll, and the expected number of bets, for repeated unit-bet gambling scenarios.
Price / call$0.02
Success—
StatusUnknown
How this service works
Gambler's ruin: probability of going broke before hitting a target, and expected number of bets, for repeated unit bets.
Output
Returns the probability of ruin (going broke), probability of success (hitting the target), win probability, loss probability, ratio q/p, and expected number of bets before the game ends. Also includes a summary, verdict, and disclaimer. If no target is provided, models play until ruin.
Example use cases
Roulette session ruin analysis
“I'm heading to the casino with $150 and want to play roulette on red/black — win probability is about 0.4737 on a double-zero wheel. What's my chance of losing everything before I hit $300, and how many spins should I expect?”
Biased coin gambling edge check
“I have a coin with a 52% chance of heads. Starting with 200 units and trying to reach 400, what's my ruin probability and expected number of flips before I either bust or hit my target?”
Infinite play ruin probability
“If I start with 500 units and bet one unit at a time with a 48% win chance, and I have no target — I just play until I go broke — what's the probability of eventual ruin and roughly how many bets will it take?”
Technical details
Endpoint
GEThttps://probability-calc.x402tookit.com/gamblers-ruin?utm_source=zero.xyzWhen to prefer
Choose this endpoint when you need mathematically exact gambler's ruin probabilities and expected bet counts for unit-bet repeated-trial scenarios with a fixed win probability. Ideal for analyzing casino game strategies, bankroll management, or any symmetric/asymmetric random walk problem with absorbing barriers. Prefer this over generic probability distributions when you specifically need the two-barrier ruin/success model.
Side effects
- Missing required parameter 'p' or 'bankroll' returns an error
- Win probability 'p' outside 0–1 range is invalid
- Bankroll outside 1–1,000,000 range is rejected
- Target lower than or equal to bankroll may produce undefined or trivial results
- Floating-point precision issues for very large bankrolls or near-zero edge scenarios
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
x402
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