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 | 0.99638 | 0 | 0.00047 |
| 2 | 0.99997 | 0.49715 | 0.00047 |
| 3(1 I) | 1 | 0.74818 | 0.12546 |
| 4 | 1 | 0.87463 | 0.28027 |
| 5 | 1 | 0.93659 | 0.42782 |
| 6(2 I) | 1 | 0.96865 | 0.5546 |
| 7 | 1 | 0.98465 | 0.65832 |
| 8 | 1 | 0.99248 | 0.73992 |
| 9(3 I) | 1 | 0.9965 | 0.80221 |
| 10 | 1 | 0.99821 | 0.85014 |
| 11 | 1 | 0.99908 | 0.8877 |
| 12(4 I) | 1 | 0.99954 | 0.91619 |
| 13 | 1 | 0.99975 | 0.93773 |
| 14 | 1 | 0.99988 | 0.95303 |
| 15(5 I) | 1 | 0.99994 | 0.96523 |
| 16 | 1 | 0.99998 | 0.97365 |
| 17 | 1 | 0.99998 | 0.98079 |
| 18(6 I) | 1 | 1 | 0.98559 |
| 19 | 1 | 1 | 0.9894 |
| 20 | 1 | 1 | 0.99223 |
| 21(7 I) | 1 | 1 | 0.99421 |
| 22 | 1 | 1 | 0.99579 |
| 23 | 1 | 1 | 0.99706 |
| 24(8 I) | 1 | 1 | 0.99782 |
| 25 | 1 | 1 | 0.99849 |
| 26 | 1 | 1 | 0.99898 |
| 27(9 I) | 1 | 1 | 0.99945 |
| 28 | 1 | 1 | 0.99965 |
| 29 | 1 | 1 | 0.99993 |
| 30(10 I) | 1 | 1 | 1 |
And again, with +1/256 to each chance.
| Turn | Lv 1 | Lv 2 | Lv 3 |
| 1 | 1 | 0 | 0.00043 |
| 2 | 1 | 0.50213 | 0.00043 |
| 3(1 I) | 1 | 0.75253 | 0.12987 |
| 4 | 1 | 0.87792 | 0.28876 |
| 5 | 1 | 0.93962 | 0.43989 |
| 6(2 I) | 1 | 0.97038 | 0.56564 |
| 7 | 1 | 0.98549 | 0.66725 |
| 8 | 1 | 0.99279 | 0.74902 |
| 9(3 I) | 1 | 0.99624 | 0.81088 |
| 10 | 1 | 0.99815 | 0.85863 |
| 11 | 1 | 0.99902 | 0.89492 |
| 12(4 I) | 1 | 0.99959 | 0.9212 |
| 13 | 1 | 0.99985 | 0.94053 |
| 14 | 1 | 0.99993 | 0.95557 |
| 15(5 I) | 1 | 0.99997 | 0.96682 |
| 16 | 1 | 1 | 0.9756 |
| 17 | 1 | 1 | 0.98192 |
| 18(6 I) | 1 | 1 | 0.98667 |
| 19 | 1 | 1 | 0.99021 |
| 20 | 1 | 1 | 0.9928 |
| 21(7 I) | 1 | 1 | 0.99472 |
| 22 | 1 | 1 | 0.99629 |
| 23 | 1 | 1 | 0.99715 |
| 24(8 I) | 1 | 1 | 0.99809 |
| 25 | 1 | 1 | 0.99862 |
| 26 | 1 | 1 | 0.99899 |
| 27(9 I) | 1 | 1 | 0.99937 |
| 28 | 1 | 1 | 0.99964 |
| 29 | 1 | 1 | 0.99986 |
| 30(10 I) | 1 | 1 | 1 |