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Streaks in Baccarat
Introduction
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, the probability of the next three outcomes are banker wins, followed by a player win, is 6.42%. The table ignores ties.
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 |
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