A general tie and an exact-score tie are different events
In standard punto banco, the Tie result occurs when the completed Player and Banker hands have the same final baccarat total, from zero to nine. An optional Egalité (also spelled Egalite) side bet narrows that condition to one particular tied total, such as 7–7, or to a specified group of tied totals. This is not a mandatory component of baccarat, and exact-score bets and their paytables differ across game variants.
A completed 7–7 is both an ordinary tie and a qualifying outcome for a hypothetical exact-7 Egalité wager. A 6–6 is an ordinary tie but fails the 7–7 condition. The site's tie, push and void guide explains the different settlement labels, while this lesson isolates exact-score probabilities.
Read the final result, not merely the first four cards
Baccarat totals use the final digit of the sum of card points. A round may stop with four cards or continue with five or six according to fixed drawing rules. The correct Egalité result therefore depends on the two completed hands, not an interim displayed opening total. For example, Player 4 + 3 and Banker 6 + Ace both start on seven. With no natural and both hands standing, that four-card round finishes 7–7. By contrast, Player 4 + 5 against Banker 7 + 2 finishes 9–9 immediately because both opening totals are naturals.
A practical learning exercise is to write down the opening totals, apply the third-card rules, and only then test the final exact-score condition. The six rule-engine acceptance tests offer examples of why the order of those steps matters.
Why the total Tie probability cannot price a 7–7 wager
The exact eight-deck analysis from Wizard of Odds: Egalité Bets in Baccarat reports about 2.0350% for a final 7–7 and about 1.1033% for a final 9–9, under standard rules. Both are subsets of the roughly 9.5156% probability that some tie occurs. These proportions are not equal because the baccarat draw tableau changes which finished totals occur and how often.
| Final event | Eight-deck probability | Example net pay cited in the analysis | House edge at that example pay |
|---|---|---|---|
| 7–7 only | 2.0350% | 45 to 1 | 6.3899% |
| 9–9 only | 1.1033% | 80 to 1 | 10.6348% |
| Any tie | 9.5156% | 8 to 1 | 14.3596% |
The first two example paytables above come from the cited mathematical analysis; they are not live quotations or recommendations of an operator. The ordinary 8-to-1 Tie comparison comes from the standard eight-deck analysis. A different version can display different exact-score groups or payments, so a table label alone is insufficient to calculate its cost.
Work through a hypothetical one-unit 7–7 wager
At a 45-to-1 net payout, a one-unit 7–7 winner gains 45 units of profit, and the original stake is normally returned separately. If the round ends at any other final result, the one-unit stake is lost. Using p = 0.0203500268, the expectation is 45p − (1 − p) = 46p − 1 ≈ −0.063899 units per one-unit wager. In other words, the modelled edge is about 6.39% at those particular rules and pays.
It is useful to compute the break-even net payout mathematically as (1 − p)/p. At that probability it is approximately 48.14 to 1, higher than the illustrative 45-to-1 payout. A larger headline payout can therefore correspond to a lower chance of collecting it. A worked expectation does not mean the next round will lose 6.39% of a stake: the actual outcome is all-or-nothing for this wager.
What to verify and what not to infer
Check whether the menu means an individual exact tie or a group, whether it uses final or opening totals, and whether the quoted figure is net winnings or total return including the stake. No standard Egalité paytable is universal. A 7–7 chart cell also cannot forecast another 7–7: recording outcomes and predicting the next dealt cards are fundamentally different tasks.
Because exact-score wagers are highly specific and often have a substantial negative expectation, this article is for adults studying settlement and probability rather than an invitation to place a wager. Do not chase a missed exact tie or assume that a long absence makes it due.