I did the math for a 4 people relationship, both for the marital trials and Boiling Point mechanics. I also did some math for the throuple Marital Trials, taking Aquatica's comment into account.
Marital Trials
Probability for 4 players (4d8)
| desc\roll type | fumble | just right | overshoot |
|---|---|---|---|
| boring :/ | 4-14 (22.9%) | 15-21 (54.2%) | 22-32 (22.9%) |
| "balanced" | 4-16 (37.6%) | 17-19 (24.8%) | 20-32 (37.6%) |
| fun, risky | 4-17 (45.80%) | 18 (8.40%) | 19-32 (45.80%) |
Boiling Point
Probability for 3 players (3d8)
| desc\BP roll | no diff (doubles) | diff of 1-3 | diff of 4-6 | diff of 7 |
|---|---|---|---|---|
| OG BP probability | 8/64 (12.50%) | 36/64 (56.25%) | 18/64 (28.125%) | 2/64 (3.125%) |
| aqua's math | 24-18 (16.41%) | 17-12 (51.95%) | 11-7 (27.73%) | 6-3 (3.91%) |
| my math | 24-19 (10.94%) | 18-12 (57.42%) | 11-7 (27.73%) | 6-3 (3.91%) |
Probability for 4 players (4d8)
| desc\BP roll | no diff (doubles) | diff of 1-3 | diff of 4-6 | diff of 7 |
|---|---|---|---|---|
| OG BP probability | 8/64 (12.50%) | 36/64 (56.25%) | 18/64 (28.125%) | 2/64 (3.125%) |
| approx to aqua's | 32-23 (16.97%) | 22-16 (53.12%) | 15-10 (26.11%) | 9-4 (3.08%) |
| my math | 32-24 (11.99%) | 23-16 (58.10%) | 15-10 (26.11%) | 9-4 3.08%) |
Hope my contribution helps! I love enabling poly and helping out with math.
Let me know if the plain text version of this is needed!