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Expected Loss Calculator

Estimate your theoretical casino loss before you play.

Use this calculator to estimate your expected loss based on your bet size, number of bets, and the house edge of the game. It does not predict what will happen in one session. It shows the long-term mathematical cost of your action.

Enter Your Play

Change any number and the result updates instantly. The math is simple: total action multiplied by house edge.

The average amount you risk on each hand, spin, roll, or round.

The casino’s mathematical advantage. For example, 2.70 means 2.70%.

Used to show expected loss as a percentage of bankroll.

Calculation mode

How many total betting decisions you expect to make.

Calculated bets: 120

Advanced: Build Your Own Expected Loss Table

Use this when you want to build a custom probability table. Probabilities should total 100%. Net result is the win or loss amount for one bet.

Outcome name Probability % Net win/loss amount Action

Probability total

100.00%

Expected value per bet

-$0.68

Expected loss per bet

$0.68

Implied edge

2.70% house edge

What Is Expected Loss?

Expected loss is the average amount a player is mathematically expected to lose over repeated bets. It is not a guarantee for one session. It is the long-term cost created by the house edge.

In plain English, expected loss tells you the price of putting money into action. The more you bet, and the more often you bet, the more the house edge has room to work.

Expected Loss Formula

Expected Loss = Average Bet × Number of Bets × House Edge

Average bet is your typical wager. Number of bets is how many decisions you make. House edge is the casino’s percentage advantage converted into a decimal. A 2.70% house edge is 0.027 in the calculation.

Why Total Wagered Matters More Than Buy-In

A player may buy in for $200 but wager thousands of dollars over a long session because the same chips are reused again and again. Expected loss is based on total action, not only starting bankroll.

This is why a small buy-in can still create a meaningful theoretical loss when the player makes many bets.

Expected Loss vs Actual Loss

Expected loss is the mathematical average. Actual loss is what happens in real life. Variance can make short-term results much better or worse.

You can win in a negative expectation game. You can also lose much more than the expected amount. The calculator shows the long-term center of the math, not a promise about tonight.

How Casinos Use Expected Loss

Casinos often use theoretical loss to estimate player value, comps, reinvestment, and profitability.

Theoretical loss is usually calculated as Average Bet × Decisions × House Edge. A player who makes more decisions can be worth more to the casino even if the buy-in looks small.

Why Low House Edge Still Costs Money

Even a small house edge becomes meaningful when the player makes many bets. A 1% edge on $10,000 of total action is still $100 in expected loss.

Low edge is better than high edge, but it does not remove the cost of repeated betting.

Responsible Gambling Note

This calculator is an educational tool. It does not make gambling safer, profitable, or predictable. Never gamble with money you cannot afford to lose.

FAQ

What does expected loss mean?

Expected loss is the average amount you are mathematically expected to lose over many repeated bets.

Does expected loss mean I will lose exactly that amount?

No. In one session, you can win, lose less, or lose much more. Expected loss is a long-term average.

Why does the calculator use total wagered?

Because the house edge applies to every bet you make, not just the money you bring to the casino.

What is the difference between house edge and expected loss?

House edge is the percentage advantage of the casino. Expected loss converts that percentage into a money amount.

Can a player have a positive expected value?

Yes, but usually only in special situations such as advantage play, promotions, errors, or skill-based conditions. Most normal casino play has negative expected value.

Which casino games usually have the lowest expected loss?

Games with lower house edges, such as good-rule blackjack with basic strategy, baccarat banker, craps pass line, and European roulette, usually have lower expected loss than high-edge games like keno or some slot machines.

Play smart. Gambling involves real financial risk. If the game stops being entertainment, it's time to stop playing.