Expected Loss Calculator: How Much Will You Lose?
Expected loss is the most practical number in gambling mathematics. It tells you exactly how much a casino session is likely to cost you. The formula is simple: multiply the total amount you will wager by the house edge. This guide walks through the calculation, provides real examples, and connects you to tools that automate the math.
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The Expected Loss Formula
Expected Loss = Total Wagered × House Edge. Total Wagered is not your bankroll—it is the total of all individual bets you place. If you bet $10 per hand for 100 hands, your total wagered is $1,000. If the house edge is 2%, your expected loss is $20. This formula works for any casino game. The key insight is that the casino's advantage applies to every bet independently, so the more you bet, the more you expect to lose.
Expected Loss = Total Wagered × House Edge- •Total Wagered = Bet Size × Number of Bets
- •House Edge varies by game and bet type
- •Expected loss scales linearly with total wagered
- •Your bankroll is not your total wagered
Worked Examples for Common Games
Roulette (European): $10/spin × 200 spins × 2.7% = $54 expected loss. Blackjack (basic strategy): $25/hand × 80 hands × 0.5% = $10 expected loss. Slots (96% RTP): $1/spin × 500 spins × 4% = $20 expected loss. Baccarat (Banker): $50/hand × 60 hands × 1.06% = $31.80 expected loss. These numbers represent the mathematical average—individual sessions will vary above and below these amounts due to variance.
- •European Roulette: $54 loss on $2,000 wagered
- •Blackjack: $10 loss on $2,000 wagered
- •Slots (96% RTP): $20 loss on $500 wagered
- •Baccarat Banker: $31.80 loss on $3,000 wagered
- •Actual results vary due to session variance
Calculating Your Hourly Cost
Convert expected loss to an hourly entertainment cost: multiply the per-bet expected loss by hands/spins per hour. Roulette: ~30 spins/hour × $10 × 2.7% = $8.10/hour. Blackjack: ~80 hands/hour × $25 × 0.5% = $10/hour. Slots: ~600 spins/hour × $0.50 × 4% = $12/hour. This framing helps you compare gambling costs to other entertainment: movies, concerts, dining out. It also reveals why fast games (slots) can be expensive despite small bets.
Hourly Cost = Hands per Hour × Bet Size × House Edge- •Roulette: ~$8.10/hour at $10/spin
- •Blackjack: ~$10/hour at $25/hand
- •Slots: ~$12/hour at $0.50/spin
- •Speed of play multiplies the cost
- •Compare to other entertainment expenses
Why Individual Sessions Differ
Expected loss is an average—your actual session might be better or worse. In a 4-hour roulette session (expected loss ~$32), you might win $200 or lose $300. Variance (the spread of possible outcomes) is highest in short sessions and with high-volatility games. The expected loss becomes increasingly accurate as you play more. Over a year of weekly sessions, your actual results will closely approximate the expected loss calculation. Think of it as a budget, not a prediction.
- •Expected loss = mathematical average, not prediction
- •Short sessions have high variance
- •Long-term results converge to expected value
- •Use it as a budget for gambling entertainment
- •Variance is highest with volatile games and large bets
Key Takeaways
- 1Expected Loss = Total Wagered × House Edge
- 2Total wagered is all bets combined, not your starting bankroll
- 3Convert to hourly cost for a practical entertainment budget
- 4Individual sessions vary, but long-term results converge to the formula
- 5Use our Risk Lab to simulate realistic session outcomes