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 | 0.99627 | 0 | 0.00043 |
| 2 | 1 | 0.49924 | 0.00043 |
| 3(1 I) | 1 | 0.74802 | 0.12433 |
| 4 | 1 | 0.87268 | 0.27875 |
| 5 | 1 | 0.93676 | 0.42923 |
| 6(2 I) | 1 | 0.96815 | 0.5567 |
| 7 | 1 | 0.984 | 0.65846 |
| 8 | 1 | 0.99215 | 0.74167 |
| 9(3 I) | 1 | 0.99605 | 0.80425 |
| 10 | 1 | 0.99799 | 0.85271 |
| 11 | 1 | 0.99901 | 0.88825 |
| 12(4 I) | 1 | 0.99948 | 0.91635 |
| 13 | 1 | 0.99977 | 0.93758 |
| 14 | 1 | 0.99983 | 0.95374 |
| 15(5 I) | 1 | 0.99992 | 0.96554 |
| 16 | 1 | 0.99997 | 0.97404 |
| 17 | 1 | 0.99999 | 0.9804 |
| 18(6 I) | 1 | 0.99999 | 0.9853 |
| 19 | 1 | 1 | 0.98914 |
| 20 | 1 | 1 | 0.99199 |
| 21(7 I) | 1 | 1 | 0.99399 |
| 22 | 1 | 1 | 0.99558 |
| 23 | 1 | 1 | 0.99669 |
| 24(8 I) | 1 | 1 | 0.99759 |
| 25 | 1 | 1 | 0.99817 |
| 26 | 1 | 1 | 0.99878 |
| 27(9 I) | 1 | 1 | 0.99921 |
| 28 | 1 | 1 | 0.99953 |
| 29 | 1 | 1 | 0.99975 |
| 30(10 I) | 1 | 1 | 1 |
And again, with +1/256 to each chance.
| Turn | Lv 1 | Lv 2 | Lv 3 |
| 1 | 1 | 0 | 0.00038 |
| 2 | 1 | 0.50233 | 0.00038 |
| 3(1 I) | 1 | 0.75357 | 0.12762 |
| 4 | 1 | 0.8766 | 0.28679 |
| 5 | 1 | 0.93826 | 0.43558 |
| 6(2 I) | 1 | 0.96999 | 0.56342 |
| 7 | 1 | 0.98503 | 0.6658 |
| 8 | 1 | 0.99271 | 0.74819 |
| 9(3 I) | 1 | 0.9963 | 0.80866 |
| 10 | 1 | 0.99812 | 0.8561 |
| 11 | 1 | 0.99911 | 0.89207 |
| 12(4 I) | 1 | 0.99956 | 0.91933 |
| 13 | 1 | 0.99983 | 0.93977 |
| 14 | 1 | 0.99993 | 0.95525 |
| 15(5 I) | 1 | 0.99998 | 0.96691 |
| 16 | 1 | 0.99999 | 0.97535 |
| 17 | 1 | 0.99999 | 0.98177 |
| 18(6 I) | 1 | 0.99999 | 0.98654 |
| 19 | 1 | 1 | 0.98999 |
| 20 | 1 | 1 | 0.99263 |
| 21(7 I) | 1 | 1 | 0.99474 |
| 22 | 1 | 1 | 0.99627 |
| 23 | 1 | 1 | 0.99735 |
| 24(8 I) | 1 | 1 | 0.9982 |
| 25 | 1 | 1 | 0.99877 |
| 26 | 1 | 1 | 0.99915 |
| 27(9 I) | 1 | 1 | 0.9995 |
| 28 | 1 | 1 | 0.99974 |
| 29 | 1 | 1 | 0.99984 |
| 30(10 I) | 1 | 1 | 1 |