Risk of Ruin Calculator
Calculate the probability of depleting your bankroll before reaching your target profit
Input Parameters
Enter your bankroll details to calculate risk of ruin
Risk Analysis
Understanding Risk of Ruin
What is Risk of Ruin?
Risk of Ruin (RoR) is the probability that you will lose your entire bankroll before achieving your profit target. This is a critical metric for any gambler to understand, as it quantifies the risk you're taking with your money management strategy.
The Formula
For games with a house edge, the Risk of Ruin can be approximated using the gambler's ruin formula:
Where: p = win probability, q = loss probability (1-p), a = bankroll in units, t = target profit in units
Key Factors Affecting Risk
- Bankroll Size: Larger bankroll = lower risk of ruin
- Bet Size: Smaller bets relative to bankroll = lower risk
- House Edge: Lower house edge = lower risk of ruin
- Target Profit: More modest goals = better success probability
Risk Levels
Practical Tips
- Keep your bet size to 1-2% of your bankroll for low risk
- Set realistic profit targets (25-50% of bankroll)
- Choose games with lower house edge to improve your odds
- If RoR is above 25%, consider reducing bet size or target
- Remember: Due to house edge, long-term expected value is negative