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 | 0.99628 | 0 | 0.00048 |
| 2 | 0.99999 | 0.49792 | 0.00048 |
| 3(1 I) | 1 | 0.74862 | 0.12309 |
| 4 | 1 | 0.87481 | 0.28038 |
| 5 | 1 | 0.93754 | 0.42941 |
| 6(2 I) | 1 | 0.96864 | 0.55632 |
| 7 | 1 | 0.98441 | 0.65806 |
| 8 | 1 | 0.99228 | 0.73894 |
| 9(3 I) | 1 | 0.99594 | 0.80218 |
| 10 | 1 | 0.99788 | 0.85047 |
| 11 | 1 | 0.99897 | 0.88779 |
| 12(4 I) | 1 | 0.99942 | 0.91594 |
| 13 | 1 | 0.9997 | 0.93763 |
| 14 | 1 | 0.99985 | 0.95315 |
| 15(5 I) | 1 | 0.99989 | 0.96474 |
| 16 | 1 | 0.99994 | 0.97338 |
| 17 | 1 | 1 | 0.98004 |
| 18(6 I) | 1 | 1 | 0.9853 |
| 19 | 1 | 1 | 0.98889 |
| 20 | 1 | 1 | 0.99179 |
| 21(7 I) | 1 | 1 | 0.99402 |
| 22 | 1 | 1 | 0.99573 |
| 23 | 1 | 1 | 0.99701 |
| 24(8 I) | 1 | 1 | 0.99783 |
| 25 | 1 | 1 | 0.99843 |
| 26 | 1 | 1 | 0.99896 |
| 27(9 I) | 1 | 1 | 0.99929 |
| 28 | 1 | 1 | 0.99962 |
| 29 | 1 | 1 | 0.99985 |
| 30(10 I) | 1 | 1 | 1 |
And again, with +1/256 to each chance.
| Turn | Lv 1 | Lv 2 | Lv 3 |
| 1 | 1 | 0 | 0.00031 |
| 2 | 1 | 0.50194 | 0.00031 |
| 3(1 I) | 1 | 0.75442 | 0.12945 |
| 4 | 1 | 0.87818 | 0.28876 |
| 5 | 1 | 0.93979 | 0.44003 |
| 6(2 I) | 1 | 0.97022 | 0.56613 |
| 7 | 1 | 0.98518 | 0.66853 |
| 8 | 1 | 0.99266 | 0.75012 |
| 9(3 I) | 1 | 0.99639 | 0.81162 |
| 10 | 1 | 0.9983 | 0.85889 |
| 11 | 1 | 0.99924 | 0.89391 |
| 12(4 I) | 1 | 0.99959 | 0.91983 |
| 13 | 1 | 0.99981 | 0.94038 |
| 14 | 1 | 0.99994 | 0.95583 |
| 15(5 I) | 1 | 0.99997 | 0.9669 |
| 16 | 1 | 1 | 0.97516 |
| 17 | 1 | 1 | 0.98195 |
| 18(6 I) | 1 | 1 | 0.98662 |
| 19 | 1 | 1 | 0.99028 |
| 20 | 1 | 1 | 0.99294 |
| 21(7 I) | 1 | 1 | 0.99467 |
| 22 | 1 | 1 | 0.99592 |
| 23 | 1 | 1 | 0.99691 |
| 24(8 I) | 1 | 1 | 0.99771 |
| 25 | 1 | 1 | 0.99849 |
| 26 | 1 | 1 | 0.99896 |
| 27(9 I) | 1 | 1 | 0.99939 |
| 28 | 1 | 1 | 0.9996 |
| 29 | 1 | 1 | 0.99988 |
| 30(10 I) | 1 | 1 | 1 |