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 | 0.99601 | 0 | 0.00055 |
| 2 | 1 | 0.49753 | 0.00055 |
| 3(1 I) | 1 | 0.74993 | 0.12409 |
| 4 | 1 | 0.87599 | 0.28094 |
| 5 | 1 | 0.93727 | 0.4304 |
| 6(2 I) | 1 | 0.96803 | 0.55871 |
| 7 | 1 | 0.9842 | 0.65898 |
| 8 | 1 | 0.99203 | 0.74109 |
| 9(3 I) | 1 | 0.9957 | 0.804 |
| 10 | 1 | 0.99781 | 0.85346 |
| 11 | 1 | 0.99886 | 0.88877 |
| 12(4 I) | 1 | 0.99941 | 0.91655 |
| 13 | 1 | 0.99969 | 0.93709 |
| 14 | 1 | 0.9998 | 0.95335 |
| 15(5 I) | 1 | 0.99989 | 0.96551 |
| 16 | 1 | 0.99993 | 0.97421 |
| 17 | 1 | 0.99995 | 0.98065 |
| 18(6 I) | 1 | 0.99999 | 0.98575 |
| 19 | 1 | 1 | 0.98992 |
| 20 | 1 | 1 | 0.99256 |
| 21(7 I) | 1 | 1 | 0.99442 |
| 22 | 1 | 1 | 0.99588 |
| 23 | 1 | 1 | 0.99706 |
| 24(8 I) | 1 | 1 | 0.99794 |
| 25 | 1 | 1 | 0.99865 |
| 26 | 1 | 1 | 0.99911 |
| 27(9 I) | 1 | 1 | 0.99944 |
| 28 | 1 | 1 | 0.9997 |
| 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 | 0.00032 |
| 2 | 1 | 0.50605 | 0.00032 |
| 3(1 I) | 1 | 0.75566 | 0.12988 |
| 4 | 1 | 0.87665 | 0.28985 |
| 5 | 1 | 0.93845 | 0.43857 |
| 6(2 I) | 1 | 0.9694 | 0.56447 |
| 7 | 1 | 0.98466 | 0.66724 |
| 8 | 1 | 0.99236 | 0.74814 |
| 9(3 I) | 1 | 0.99615 | 0.80973 |
| 10 | 1 | 0.99812 | 0.85759 |
| 11 | 1 | 0.99915 | 0.89304 |
| 12(4 I) | 1 | 0.99958 | 0.92031 |
| 13 | 1 | 0.99981 | 0.94048 |
| 14 | 1 | 0.99989 | 0.95494 |
| 15(5 I) | 1 | 0.99998 | 0.96672 |
| 16 | 1 | 0.99999 | 0.97557 |
| 17 | 1 | 0.99999 | 0.98201 |
| 18(6 I) | 1 | 1 | 0.98671 |
| 19 | 1 | 1 | 0.9902 |
| 20 | 1 | 1 | 0.99294 |
| 21(7 I) | 1 | 1 | 0.99479 |
| 22 | 1 | 1 | 0.99641 |
| 23 | 1 | 1 | 0.99738 |
| 24(8 I) | 1 | 1 | 0.99816 |
| 25 | 1 | 1 | 0.99869 |
| 26 | 1 | 1 | 0.99912 |
| 27(9 I) | 1 | 1 | 0.99941 |
| 28 | 1 | 1 | 0.99968 |
| 29 | 1 | 1 | 0.99989 |
| 30(10 I) | 1 | 1 | 1 |