ojo's Blog

How do you want to consider ties? To ignore them, or to consider them breaking your streak?

To ignore the ties

The reply is in this table.

https://wizardofodds.com/games/baccarat/appendix/4/



Ignoring ties as if they haven't happened. . .

If probability of next hand being Banker is P

Then probability of next 19 hands being Banker is P^19

Thanks, you gave me for a 6 decks shoe and it happened in a 8 decks shoe . Can you tell what is it? like example. 1 in 500 that it will happen or 1 in 50,000 hands or ? and what is the formula to get the answer for the future. Thanks alot

The difference between probability for 6 deck and that for 8 deck is not much at all.

Probability of banker in 8 deck is 49.3148%

Probability of banker in 6 deck is 49.3163%



So using the 8 deck number. Probability of 19 Winning bank out of 19 observed hands, where ties are not counted is...



0.493148^19 = 0.00000146746667



or to put it another way, you would need (on average) to observe 1/0.00000146746667 sets of 19 consecutive hands = 1 in 681446 sets

You would get that number of consecutive sets of 19 hands if you observed that number of hands plus 18.



I.e. once in 681464 hands approximately



Give or take a bit of rounding.

Thanks a lot, have a good day

OJO