This table shows approximate probabilities of ending up with different numbers of Sets among 12 randomly chosen Set cards. We chose 12 cards a million times, and counted the number of Sets each time.
| Number of Sets | Number of Occurrences | Approximate Probability | In other words |
|---|---|---|---|
| 0 | 32430 | 3.2% | 1 in 30.8 |
| 1 | 145770 | 14.6% | 1 in 6.9 |
| 2 | 261464 | 26.1% | 1 in 3.8 |
| 3 | 272410 | 27.2% | 1 in 3.7 |
| 4 | 179171 | 17.9% | 1 in 5.6 |
| 5 | 79899 | 8.0% | 1 in 12.5 |
| 6 | 23333 | 2.3% | 1 in 42.9 |
| 7 | 4683 | 0.5% | 1 in 214 |
| 8 | 693 | 0.07% | 1 in 1443 |
| 9 | 114 | 0.01% | 1 in 8772 |
| 10 | 30 | 0.003% | 1 in 33333 |
| 11 | 2 | 0.0002% | 1 in 500000 |
| 12 | 1 | 0.0001% | 1 in 1000000 |
| 13 | 0 | 0.0% * | 0 |
| 14 | 0 | 0.0% * | 0 |
* It's possible to get 13 or 14 Sets; it just didn't happen during our run of a million trials.