Expected Loss at Baccarat: Formula & Examples
Last reviewed: June 2026
The formula: Expected loss ≈ (total amount wagered) × (house edge).
That’s it. Baccarat is refreshingly direct: multiply your total wagers by the edge and you get your statistical average loss. Here’s how to apply it and what it tells you. For the underlying concept, see Expected Value Explained and the interactive house-edge model.
House edge reference
| Bet | Edge |
|---|---|
| Banker | 1.06% |
| Player | 1.24% |
| Tie (8:1) | 14.36% |
For real play, use Banker (1.06%) or Player (1.24%). Avoid the Tie bet and table side bets — all of them carry far higher edges.
Worked examples
Example 1 — Banker, $10/hand, 100 hands
- Total wagered: $10 × 100 = $1,000
- Expected loss: $1,000 × 0.0106 = $10.60
That’s the average. You might win, break even, or lose more on any given session (variance), but over many 100-hand sessions the average approaches $10.60.
Example 2 — Player, $5/hand, 50 hands
- Total wagered: $250
- Expected loss: $250 × 0.0124 = $3.10
Player’s higher edge costs about $0.18 more per $100 wagered than Banker.
Example 3 — Tie, a single $20 bet
- Expected loss: $20 × 0.1436 = $2.87
One $20 Tie bet expects to lose nearly $3. A $20 Banker hand expects to lose about $0.21 — a huge difference for the same stake.
Example 4 — $100 of action, flat $10 bets
| Bet | Hands | Total wagered | Expected loss | Expected remaining |
|---|---|---|---|---|
| Banker | 10 | $100 | $1.06 | ~$98.94 |
| Player | 10 | $100 | $1.24 | ~$98.76 |
| Tie | 1 ($20) | $20 | $2.87 | ~$97.13 |
What this does and doesn’t tell you
Does tell you: your long-run average loss per dollar wagered, how much to budget for entertainment, and the relative cost of each bet.
Doesn’t tell you: whether you’ll win or lose today (variance), how long your bankroll will last (depends on the swings), or whether a table is “loose” — the math is fixed.
The fundamental insight
The edge is charged on every dollar wagered, not on your deposit. Play 100 hands of $10 on Banker and you’ve wagered $1,000 (not $100), with an expected loss of ~$10.60. Play 500 hands and you expect to lose about $53. The cost compounds with volume, which is why smaller bets stretch a bankroll further.
Bankroll sustainability
With $500, betting Banker at $10/hand:
- 50 hands = $500 wagered → expected loss ~$5.30 (expected remaining ~$494.70).
- You’ll likely last well beyond 50 hands, but variance decides any single session. Want more time? Bet smaller ($1–$5).
See it in motion right here — set a Banker bet at $10 and run 100, then 100,000 hands; the observed loss closes in on the formula’s number while any single run wanders around it:
Build your bet
- No bets yet — add one above.
Educational simulation — fun credits only, no real money. The observed edge wobbles over a short run; over many hands it tends toward the selected model's long-run expectation, but random variation never fully disappears.
For setting limits, read Bankroll Management.
Frequently asked
Can this predict one session? No — only long-run averages. Variance dominates short sessions.
What if I get lucky? Great — but over many sessions, expected loss is the center of the distribution.
Why is Tie so much worse? A 14.36% edge versus 1.06%: the 8:1 payout is far too short for how rarely (9.52%) the Tie hits.
Sources & further reading
- Wizard of Odds — House Edge — baccarat edges and the formula (accessed 2026-06-23)
- All edges here are reproduced by our verified baccarat engine.
Educational explanation only. No real-money gambling happens on LearnTheOdds.
Responsible gambling: Play for entertainment, not income — the math favors the house over time. Set limits, never chase losses, and if it stops being fun, take a break. 21+. Need help? Call 1-800-MY-RESET (1800myreset.org).