This file will simulate the chances of your party getting hit with a tier three knowledge bomb after a certain number of turns. You start at tier zero, and the chances of leveling up each round are as follows:
0 => 1: 255/256
1 => 2: 50%
2 => 3: 25%
Basically, the AI learns what monsters are immune to after you hit level 3 and they will stop casting spells that have no chance of working.
| Turn | Lv 1 | Lv 2 | Lv 3 |
| 1 | 0.99613 | 0 | 0.00045 |
| 2 | 1 | 0.49736 | 0.00045 |
| 3(1 I) | 1 | 0.74972 | 0.12416 |
| 4 | 1 | 0.87805 | 0.27975 |
| 5 | 1 | 0.93907 | 0.42919 |
| 6(2 I) | 1 | 0.96898 | 0.55819 |
| 7 | 1 | 0.98441 | 0.66065 |
| 8 | 1 | 0.9924 | 0.74135 |
| 9(3 I) | 1 | 0.9962 | 0.80313 |
| 10 | 1 | 0.99803 | 0.85017 |
| 11 | 1 | 0.99895 | 0.8873 |
| 12(4 I) | 1 | 0.99951 | 0.91559 |
| 13 | 1 | 0.99979 | 0.93629 |
| 14 | 1 | 0.99991 | 0.9526 |
| 15(5 I) | 1 | 0.99994 | 0.9644 |
| 16 | 1 | 0.99997 | 0.97334 |
| 17 | 1 | 0.99998 | 0.98 |
| 18(6 I) | 1 | 0.99999 | 0.98518 |
| 19 | 1 | 0.99999 | 0.989 |
| 20 | 1 | 1 | 0.99182 |
| 21(7 I) | 1 | 1 | 0.99392 |
| 22 | 1 | 1 | 0.99549 |
| 23 | 1 | 1 | 0.9968 |
| 24(8 I) | 1 | 1 | 0.99776 |
| 25 | 1 | 1 | 0.99838 |
| 26 | 1 | 1 | 0.99888 |
| 27(9 I) | 1 | 1 | 0.99928 |
| 28 | 1 | 1 | 0.99972 |
| 29 | 1 | 1 | 0.99989 |
| 30(10 I) | 1 | 1 | 1 |
And again, with +1/256 to each chance.
| Turn | Lv 1 | Lv 2 | Lv 3 |
| 1 | 1 | 0 | 0.0006 |
| 2 | 1 | 0.50493 | 0.0006 |
| 3(1 I) | 1 | 0.75499 | 0.12952 |
| 4 | 1 | 0.87926 | 0.28731 |
| 5 | 1 | 0.93956 | 0.43776 |
| 6(2 I) | 1 | 0.96982 | 0.56586 |
| 7 | 1 | 0.98469 | 0.66887 |
| 8 | 1 | 0.99221 | 0.74951 |
| 9(3 I) | 1 | 0.99592 | 0.80997 |
| 10 | 1 | 0.99801 | 0.85631 |
| 11 | 1 | 0.99888 | 0.89286 |
| 12(4 I) | 1 | 0.99933 | 0.91992 |
| 13 | 1 | 0.9997 | 0.94043 |
| 14 | 1 | 0.99985 | 0.95598 |
| 15(5 I) | 1 | 0.99994 | 0.96711 |
| 16 | 1 | 0.99999 | 0.97552 |
| 17 | 1 | 0.99999 | 0.9815 |
| 18(6 I) | 1 | 1 | 0.98635 |
| 19 | 1 | 1 | 0.99008 |
| 20 | 1 | 1 | 0.99278 |
| 21(7 I) | 1 | 1 | 0.99439 |
| 22 | 1 | 1 | 0.99595 |
| 23 | 1 | 1 | 0.99716 |
| 24(8 I) | 1 | 1 | 0.99792 |
| 25 | 1 | 1 | 0.99856 |
| 26 | 1 | 1 | 0.99908 |
| 27(9 I) | 1 | 1 | 0.99937 |
| 28 | 1 | 1 | 0.99961 |
| 29 | 1 | 1 | 0.99988 |
| 30(10 I) | 1 | 1 | 1 |