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 | 0.99595 | 0 | 0.00054 |
| 2 | 0.99999 | 0.49908 | 0.00054 |
| 3(1 I) | 1 | 0.75037 | 0.12653 |
| 4 | 1 | 0.87611 | 0.28194 |
| 5 | 1 | 0.93857 | 0.4319 |
| 6(2 I) | 1 | 0.96875 | 0.55913 |
| 7 | 1 | 0.98418 | 0.66077 |
| 8 | 1 | 0.99209 | 0.74026 |
| 9(3 I) | 1 | 0.99628 | 0.80331 |
| 10 | 1 | 0.99813 | 0.85111 |
| 11 | 1 | 0.99912 | 0.88759 |
| 12(4 I) | 1 | 0.99959 | 0.91575 |
| 13 | 1 | 0.99986 | 0.93697 |
| 14 | 1 | 0.99991 | 0.95307 |
| 15(5 I) | 1 | 0.99999 | 0.96442 |
| 16 | 1 | 0.99999 | 0.97308 |
| 17 | 1 | 0.99999 | 0.97964 |
| 18(6 I) | 1 | 0.99999 | 0.9851 |
| 19 | 1 | 1 | 0.98874 |
| 20 | 1 | 1 | 0.99178 |
| 21(7 I) | 1 | 1 | 0.99415 |
| 22 | 1 | 1 | 0.99572 |
| 23 | 1 | 1 | 0.99687 |
| 24(8 I) | 1 | 1 | 0.99781 |
| 25 | 1 | 1 | 0.99851 |
| 26 | 1 | 1 | 0.999 |
| 27(9 I) | 1 | 1 | 0.99925 |
| 28 | 1 | 1 | 0.99953 |
| 29 | 1 | 1 | 0.99988 |
| 30(10 I) | 1 | 1 | 1 |
And again, with +1/256 to each chance.
| Turn | Lv 1 | Lv 2 | Lv 3 |
| 1 | 1 | 0 | 0.00035 |
| 2 | 1 | 0.50387 | 0.00035 |
| 3(1 I) | 1 | 0.7542 | 0.12831 |
| 4 | 1 | 0.87743 | 0.28615 |
| 5 | 1 | 0.93907 | 0.43844 |
| 6(2 I) | 1 | 0.96989 | 0.56642 |
| 7 | 1 | 0.98496 | 0.66854 |
| 8 | 1 | 0.99275 | 0.74995 |
| 9(3 I) | 1 | 0.99653 | 0.81176 |
| 10 | 1 | 0.99828 | 0.85793 |
| 11 | 1 | 0.99916 | 0.89335 |
| 12(4 I) | 1 | 0.99958 | 0.91958 |
| 13 | 1 | 0.99977 | 0.94021 |
| 14 | 1 | 0.99989 | 0.95547 |
| 15(5 I) | 1 | 0.99992 | 0.96675 |
| 16 | 1 | 0.99998 | 0.97528 |
| 17 | 1 | 0.99999 | 0.98159 |
| 18(6 I) | 1 | 1 | 0.98621 |
| 19 | 1 | 1 | 0.98953 |
| 20 | 1 | 1 | 0.99213 |
| 21(7 I) | 1 | 1 | 0.99416 |
| 22 | 1 | 1 | 0.99577 |
| 23 | 1 | 1 | 0.99701 |
| 24(8 I) | 1 | 1 | 0.998 |
| 25 | 1 | 1 | 0.99859 |
| 26 | 1 | 1 | 0.99902 |
| 27(9 I) | 1 | 1 | 0.99943 |
| 28 | 1 | 1 | 0.99968 |
| 29 | 1 | 1 | 0.99982 |
| 30(10 I) | 1 | 1 | 1 |