The banker and player of baccarat have at least two cards and a maximum of three cards.
From the rules of baccarat, it is easy to imagine that baccarat also has a probability distribution table of banker and leisure points, but this probability distribution cannot be directly used to calculate the rate of return according to the formula (2•1•1). Because the baccarat points are related to the opponent’s card points and even the opponent’s third card, obviously, the “6” point of the three cards will never meet the opponent’s “8” point, s PNXbeto this table has no greater meaning .
Probability Distribution of Banker and Player in Baccarat
point
Some people may think that this table is not accurate, at least the probability of “8” point and “9” point appearing on the banker or the player seems to be the same. This is because each time a card is dealt, the probability of subsequent cards changing slightly. If the average probability of playing cards is 1/13, the probability of “8” and “9” appearing on the banker or the player is the same.
The calculation of the baccarat PNXbetrate of return is also to apply the formula (2•1•1) to calculate the weighted average of the odds, but to calculate the cumulative value of the product of the odds and their occurrence probability. By the way, when calculating the rate of return, the probability distribution table of the baccarat banker and player points is also obtained.
“0” points for player, “0” points for banker, since banker and player have the same points, betting on banker or player will not lose or win, betting wins, the probability of this happening:
128/416× PNXbet126/414×124/412×127/415×125/413×123/411
Calculate all possible cases and add up all the results to get the result we need. Of course, it is not difficult to implement the above ideas with programs. The following are the calculation results after programming.
Probability of Banker, Tie and Player: 45.860, 44.625 9.516
Banker, player, and winning percentage: 49.471, 49.382 42.820
Banker, Player and Yield: -1.058, -1.235 -14.360
The process of calculating the rate of return based on the probability of the dealer, tie, and idler is as PNXbetfollows:
The rate of return on the banker bet = 0.95 × 45.860 – 44.625 = -1.058
Idle betting rate of return = 44.625 – 45.860 = -1.235
ROB = 8 × 9.516 – 44.625 – 45.860 = -14.357
It can be seen that the “5%” baccarat Zhongzhuang win rake is not actually a rake in the true sense, but a means to realize the rake, not the rake itself.
The rate of return reveals the real profit of the casino.
In fact, in baccarat, the casino has set up three water pumps on the dealer, the player and the banker to draw water. The horsepower of the “and PNXbet” machine is astonishingly large, followed by the player, and the dealer is the smallest.
Multiply the above probabilities by the number of cards consumed, calculate all possible scenarios, add up all the results, and get the average number of cards consumed per round: 4.939 cards.
The house edge in baccarat is still small (but still bigger than blackjack) outside of betting, but that doesn’t mean baccarat is fair. You might overlook that baccarat is almost the fastest of all gambling games, so casinos don’t make a lot of money on baccarat.
