Baccarat: banker, player and tie

From every possible deal of an eight-deck shoe, the banker hand wins 45.86% of coups, the player hand 44.62%, and 9.52% are ties. After the 5% commission, the banker bet costs 1.06% of each stake, the player bet 1.24% and the tie bet at 8 to 1 14.36%.

Every possible deal of the shoe enumerated with the third-card rules of punto banco.
Result of a coup8 decks6 decks
Banker wins45.860%45.865%
Player wins44.625%44.628%
Tie9.516%9.507%
Banker and player bets push on a tie; the house edge is per bet placed.
BetHouse edge, 8 decksHouse edge, 6 decks
Banker (pays 19 to 20 after 5% commission)1.06%1.06%
Player (pays 1 to 1)1.24%1.24%
Tie paying 8 to 114.36%14.44%
Tie paying 9 to 14.84%4.93%

Why the banker wins more often

The third-card rules let the banker hand draw or stand after seeing whether the player drew and what the player's third card was. That information is worth about a percentage point, which is why the casino takes a commission on winning banker bets.

The tie bet

A tie comes up in 9.52% of coups. Paid at 8 to 1, the tie bet costs 14.36% of each stake, more than ten times the banker bet; even at 9 to 1 it costs 4.84%.

Questions

Which baccarat bet is best?

The banker bet, at 1.06% after commission, then the player bet. The tie bet is one of the most expensive bets in the casino.

Does the number of decks matter?

Very little: the table shows eight and six decks side by side.

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