Baccarat Appendix 4 - Streaks in Baccarat

Last update: March 21, 2007

I get asked a lot about the probability of getting x bets in a row correct in baccarat. Not that the answer is of any value, but to end the questions I submit the following table. It shows the probability of winning exactly 0 to 20 bets in a row, according to the bet. The probabilities are for each starting point. For example, if observed 80 hands, not counting ties, plus extra hand(s) to complete the last series, then you could expect to 80 × 0.06420894 = 5.136716 runs of exactly 3 bankers in a row, on average. The table is based on a six-deck shoe and ignores ties, as if the tie never happened.

Runs in Baccarat - Six Decks

Run Banker Player Random

0 0.49316293 0.50683707 0.5

1 0.24995325 0.24995325 0.25

2 0.12668557 0.12326768 0.125

3 0.06420894 0.06079105 0.0625

4 0.03254347 0.02997989 0.03125

5 0.01649424 0.01478497 0.015625

6 0.00835989 0.0072914 0.0078125

7 0.0042371 0.00359585 0.00390625

8 0.00214752 0.00177334 0.00195313

9 0.00108844 0.00087455 0.00097656

10 0.00055166 0.00043129 0.00048828

11 0.0002796 0.0002127 0.00024414

12 0.00014171 0.00010489 0.00012207

13 0.00007183 0.00005173 0.00006104

14 0.0000364 0.00002551 0.00003052

15 0.00001845 0.00001258 0.00001526

16 0.00000935 0.0000062 0.00000763

17 0.00000474 0.00000306 0.00000381

18 0.0000024 0.00000151 0.00000191

19 0.00000122 0.00000074 0.00000095

20+ 0.00000125 0.00000072 0.00000095

Total 1 1 1

Go back to baccarat
Go to baccarat appendix 1
Go to baccarat appendix 2
Go to baccarat appendix 3

The Wizard's other sites: Wizard of Macau, Sweat the Money, Math Problems