Casino house edge calculator
The house edge is a rate per unit staked, and the total staked over a session is far larger than the money you brought.
%
European roulette 2.70%; American 5.26%; blackjack with good play under 1%.
Expected loss
40.50
- Expected loss per hour
- 13.50
- Total staked
- 1500.00
- Expected loss as a share of bankroll
- 8.10 %
- Hours until the bankroll is gone on average
- 37.0
- Times the bankroll is churned
- 3.00
- Expected bankroll at the end
- 459.50
Show the working
- House edge = 2.7
- Stake per bet = 10
- Bets per hour = 50
- Hours played = 3
- Bankroll = 500
- total_bets = 50 * 3 = 150
- Total staked = 150 * 10 = 1500
- Expected loss = 1500 * 2.7/100 = 40.5
- Expected loss per hour = 50 * 10 * 2.7/100 = 13.5
- Expected loss as a share of bankroll = 500 > 0 ? 40.5/500*100 : 0 = 8.1
- Hours until the bankroll is gone on average = 13.5 > 0 ? 500 / 13.5 : 0 = 37.037
- Times the bankroll is churned = 500 > 0 ? 1500/500 : 0 = 3
- Expected bankroll at the end = 500 - 40.5 = 459.5
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
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The formula
- expected loss = total staked x house edge
- total staked = bets per hour x hours x stake
The edge applies to every bet, so recycling the same money through the table multiplies the loss. Turnover, not bankroll, is what the house charges on.
Variance means any single session can go either way. The edge only shows up reliably over thousands of bets.