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 | 0.996 | 0 | 0.00046 |
| 2 | 0.99999 | 0.49787 | 0.00046 |
| 3(1 I) | 1 | 0.74902 | 0.12438 |
| 4 | 1 | 0.87593 | 0.28202 |
| 5 | 1 | 0.93794 | 0.43084 |
| 6(2 I) | 1 | 0.96914 | 0.5558 |
| 7 | 1 | 0.9842 | 0.65995 |
| 8 | 1 | 0.99231 | 0.74019 |
| 9(3 I) | 1 | 0.99616 | 0.8038 |
| 10 | 1 | 0.99821 | 0.85208 |
| 11 | 1 | 0.99913 | 0.88861 |
| 12(4 I) | 1 | 0.99959 | 0.91713 |
| 13 | 1 | 0.99977 | 0.93739 |
| 14 | 1 | 0.99987 | 0.95287 |
| 15(5 I) | 1 | 0.99993 | 0.96476 |
| 16 | 1 | 0.99998 | 0.97359 |
| 17 | 1 | 0.99998 | 0.98059 |
| 18(6 I) | 1 | 0.99999 | 0.9856 |
| 19 | 1 | 1 | 0.98945 |
| 20 | 1 | 1 | 0.99214 |
| 21(7 I) | 1 | 1 | 0.99419 |
| 22 | 1 | 1 | 0.99564 |
| 23 | 1 | 1 | 0.99676 |
| 24(8 I) | 1 | 1 | 0.99759 |
| 25 | 1 | 1 | 0.99821 |
| 26 | 1 | 1 | 0.9988 |
| 27(9 I) | 1 | 1 | 0.99927 |
| 28 | 1 | 1 | 0.99961 |
| 29 | 1 | 1 | 0.99982 |
| 30(10 I) | 1 | 1 | 1 |
And again, with +1/256 to each chance.
| Turn | Lv 1 | Lv 2 | Lv 3 |
| 1 | 1 | 0 | 0.00039 |
| 2 | 1 | 0.50376 | 0.00039 |
| 3(1 I) | 1 | 0.75294 | 0.12633 |
| 4 | 1 | 0.87811 | 0.28698 |
| 5 | 1 | 0.93943 | 0.4367 |
| 6(2 I) | 1 | 0.96985 | 0.56485 |
| 7 | 1 | 0.98508 | 0.66683 |
| 8 | 1 | 0.99248 | 0.74668 |
| 9(3 I) | 1 | 0.99614 | 0.80955 |
| 10 | 1 | 0.99807 | 0.85822 |
| 11 | 1 | 0.99898 | 0.89433 |
| 12(4 I) | 1 | 0.99953 | 0.92065 |
| 13 | 1 | 0.99973 | 0.94054 |
| 14 | 1 | 0.99991 | 0.95523 |
| 15(5 I) | 1 | 0.99997 | 0.96709 |
| 16 | 1 | 0.99999 | 0.97532 |
| 17 | 1 | 0.99999 | 0.98167 |
| 18(6 I) | 1 | 1 | 0.98671 |
| 19 | 1 | 1 | 0.99022 |
| 20 | 1 | 1 | 0.99297 |
| 21(7 I) | 1 | 1 | 0.99486 |
| 22 | 1 | 1 | 0.99631 |
| 23 | 1 | 1 | 0.99744 |
| 24(8 I) | 1 | 1 | 0.99807 |
| 25 | 1 | 1 | 0.99865 |
| 26 | 1 | 1 | 0.999 |
| 27(9 I) | 1 | 1 | 0.99939 |
| 28 | 1 | 1 | 0.9997 |
| 29 | 1 | 1 | 0.99988 |
| 30(10 I) | 1 | 1 | 1 |