Risk of Ruin

Understanding the probability of losing your entire bankroll before achieving your goal. Critical for bankroll management.

Key Formula

Risk of Ruin ≈ (Loss Goal / Bankroll) × House Edge Factor

What is Risk of Ruin?

Risk of Ruin is the probability that you will lose your entire bankroll before completing your planned session or reaching a win goal. It is a function of your bankroll size, bet size, house edge, and desired playing time.

Key Points

Probability of total bankroll loss
Depends on bankroll, stake, edge, time
Higher stakes = higher risk of ruin
Longer sessions = higher risk of ruin

Factors Affecting Risk of Ruin

Several factors combine to determine your risk of ruin. Understanding these helps you make informed decisions about bankroll management.

Key Points

Bankroll size: More money = lower risk
Stake per bet: Lower stakes = lower risk
House edge: Higher edge = higher risk
Volatility: Higher variance = higher risk
Number of bets: More bets = higher risk

Calculating Risk of Ruin

While exact calculation requires complex formulas, a simplified approach helps estimate whether your bankroll is adequate for your planned session.

For simple estimation: If Expected Loss = Stake × Rounds × House Edge Risk increases as Expected Loss approaches Bankroll Safe bankroll = 3-5× Expected Loss

Key Points

Calculate expected loss for session
Bankroll should exceed expected loss significantly
3-5× expected loss is reasonable buffer
High variance games need larger buffers

Managing Risk of Ruin

Proper bankroll management reduces risk of ruin to acceptable levels. Never gamble with money you cannot afford to lose, and size your bets appropriately for your bankroll.

Key Points

Set stop-loss limits
Size bets as % of bankroll (1-2%)
Choose games with lower variance
Reduce session length if under-rolled

Try It Yourself

Apply what you've learned with these interactive tools:

Risk Lab

Calculate your risk of ruin for specific scenarios

House Edge Comparator

Find games with lower edge and variance

Continue Learning

Variance and Volatility

Understanding how variance affects short-term results. Learn why even games with the same house edge can have very different risk profiles.

Expected Value in Gambling

Learn how expected value (EV) determines the long-term outcome of gambling decisions and why negative EV is unavoidable in casino games.

Monte Carlo Simulation

Understanding how computer simulations model gambling outcomes. Learn how Monte Carlo methods estimate probabilities and risks.

18+ Only. Gambling involves risk. Please gamble responsibly. Learn more →

Back to All Articles