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 | 0.99563 | 0 | 0.00036 |
| 2 | 0.99999 | 0.49498 | 0.00036 |
| 3(1 I) | 1 | 0.74716 | 0.12222 |
| 4 | 1 | 0.87146 | 0.27861 |
| 5 | 1 | 0.93536 | 0.42625 |
| 6(2 I) | 1 | 0.96808 | 0.55361 |
| 7 | 1 | 0.98379 | 0.65825 |
| 8 | 1 | 0.99189 | 0.73976 |
| 9(3 I) | 1 | 0.996 | 0.80305 |
| 10 | 1 | 0.9981 | 0.85251 |
| 11 | 1 | 0.99905 | 0.88815 |
| 12(4 I) | 1 | 0.99954 | 0.91597 |
| 13 | 1 | 0.9998 | 0.93701 |
| 14 | 1 | 0.99994 | 0.95279 |
| 15(5 I) | 1 | 0.99998 | 0.96456 |
| 16 | 1 | 0.99999 | 0.97357 |
| 17 | 1 | 0.99999 | 0.98048 |
| 18(6 I) | 1 | 1 | 0.98555 |
| 19 | 1 | 1 | 0.9891 |
| 20 | 1 | 1 | 0.99177 |
| 21(7 I) | 1 | 1 | 0.99403 |
| 22 | 1 | 1 | 0.99582 |
| 23 | 1 | 1 | 0.99709 |
| 24(8 I) | 1 | 1 | 0.998 |
| 25 | 1 | 1 | 0.99862 |
| 26 | 1 | 1 | 0.99901 |
| 27(9 I) | 1 | 1 | 0.99939 |
| 28 | 1 | 1 | 0.99958 |
| 29 | 1 | 1 | 0.99979 |
| 30(10 I) | 1 | 1 | 1 |
And again, with +1/256 to each chance.
| Turn | Lv 1 | Lv 2 | Lv 3 |
| 1 | 1 | 0 | 0.0005 |
| 2 | 1 | 0.50411 | 0.0005 |
| 3(1 I) | 1 | 0.75351 | 0.13007 |
| 4 | 1 | 0.87878 | 0.29019 |
| 5 | 1 | 0.93995 | 0.43767 |
| 6(2 I) | 1 | 0.97089 | 0.56526 |
| 7 | 1 | 0.98553 | 0.6688 |
| 8 | 1 | 0.99266 | 0.74981 |
| 9(3 I) | 1 | 0.99625 | 0.81109 |
| 10 | 1 | 0.99807 | 0.85888 |
| 11 | 1 | 0.99903 | 0.89339 |
| 12(4 I) | 1 | 0.99951 | 0.92009 |
| 13 | 1 | 0.99979 | 0.94027 |
| 14 | 1 | 0.99988 | 0.95532 |
| 15(5 I) | 1 | 0.99994 | 0.9671 |
| 16 | 1 | 0.99996 | 0.97533 |
| 17 | 1 | 0.99999 | 0.98188 |
| 18(6 I) | 1 | 0.99999 | 0.98648 |
| 19 | 1 | 0.99999 | 0.98997 |
| 20 | 1 | 0.99999 | 0.99288 |
| 21(7 I) | 1 | 1 | 0.99484 |
| 22 | 1 | 1 | 0.99604 |
| 23 | 1 | 1 | 0.99727 |
| 24(8 I) | 1 | 1 | 0.99809 |
| 25 | 1 | 1 | 0.99861 |
| 26 | 1 | 1 | 0.99901 |
| 27(9 I) | 1 | 1 | 0.99926 |
| 28 | 1 | 1 | 0.9995 |
| 29 | 1 | 1 | 0.99985 |
| 30(10 I) | 1 | 1 | 1 |