Est. 1997 | Last Update: 24 Jul, 2008


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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

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