LARO77 Player Pair: How Often It Lands and What 11 to 1 Costs

The player pair is a baccarat side bet that the first two cards dealt to the Player hand are the same rank, and it is one of the most-asked side bets you meet across live casino tables and their side bets. The number that draws people is 11 to 1. This page shows the working behind how often a pair arrives and what that payout costs you on every unit you stake. Open the table’s own paytable for the payout it applies.

What the player pair bet is

You are betting on two cards only: the Player hand’s first two. The bet is settled before any third card, and the result of the round does not matter. A pair means two cards of the same rank, such as two Kings or two 7s. A King and a Queen are not a pair, even though both count as zero in baccarat.

The chance of a player pair, with the working

Eight decks hold 416 cards, and each rank appears 32 times. Take the first Player card. That leaves 415 cards, of which 31 share its rank.

31 / 415 = 0.0747

That is 7.47%, about 1 round in 13.4. The first card can be anything, so the chance does not depend on which rank it is. For 20 rounds in a row without a player pair the working is (1 - 0.0747) to the power of 20, which comes to about 21%.

Pair probability by deck count

The same working applies to any shoe: a deck count of D leaves 4D - 1 cards of the first card’s rank among 52D - 1 remaining cards.

More decks make a pair slightly more likely, because taking out one card matters less in a larger pile. The Live Baccarat Rules of Play PDF published on gaming.nv.gov describes live baccarat as played with 8 standard 52-card decks, so the last row is the one to use for that kind of shoe.

What 11 to 1 costs you

The Live Baccarat Rules of Play PDF on gaming.nv.gov lists Player Pair at 11 to 1 in its side bets paytable, and it is a commonly published payout. Each table sets its own, so read yours on the table’s paytable. Here is the arithmetic for 11 to 1 with eight decks.

1. A win returns the stake plus 11 times the stake, which is 12 units. The chance is 0.0747.
2. Expected return per unit staked is 0.0747 x 12 = 0.896.
3. The cost is 1 - 0.896 = 0.104, about 10.4% of each stake.

An example with a 100-peso stake: you get back an expected 89.64 pesos and the expected cost is 10.36 pesos. The same arithmetic with a table paying a different multiple gives a different cost, which is why the paytable matters. The house edge meaning page explains the term.

How that compares with the main bets

The Wikipedia baccarat article, and the wizardofodds.com baccarat page, both give the eight-deck house edge on the Banker bet as 1.06% and on the Player bet as 1.24%. Against those, a side bet at 10.4% costs about eight times as much per unit staked as the Player bet. A side bet is the same kind of wager, but the price you pay for it is not the same.

How stake size changes the cost

The percentage stays the same and the pesos scale with the stake. At 10.4%, a 100-peso stake carries an expected cost of about 10.36 pesos and a 1,000-peso stake about 103.61 pesos (an example). The high roller page covers how a higher limit changes expected loss, and the same multiplication applies to every side bet. The snake eyes page runs the same method on a dice bet.

Banker pair, either pair and perfect pair

Banker pair is the mirror bet on the Banker hand’s first two cards. The chance is the same, 31/415 = 7.47% with eight decks, and the Live Baccarat Rules of Play PDF lists it at the same 11 to 1, so the cost is the same 10.4%.

Some tables also offer side bets named either pair and perfect pair. This page names them only; read the table’s own rules screen for how each one is defined and what it pays. Whatever the name, the way to price a side bet is the same: find the chance, multiply by the return per unit staked and subtract from 1.