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 | 0.99582 | 0 | 0.00046 |
| 2 | 1 | 0.49788 | 0.00046 |
| 3(1 I) | 1 | 0.74803 | 0.12511 |
| 4 | 1 | 0.87418 | 0.28043 |
| 5 | 1 | 0.93602 | 0.42957 |
| 6(2 I) | 1 | 0.96775 | 0.55395 |
| 7 | 1 | 0.98403 | 0.65715 |
| 8 | 1 | 0.99193 | 0.73832 |
| 9(3 I) | 1 | 0.99596 | 0.80226 |
| 10 | 1 | 0.99787 | 0.85057 |
| 11 | 1 | 0.9989 | 0.88718 |
| 12(4 I) | 1 | 0.99945 | 0.91544 |
| 13 | 1 | 0.99971 | 0.93686 |
| 14 | 1 | 0.99987 | 0.95229 |
| 15(5 I) | 1 | 0.99992 | 0.9652 |
| 16 | 1 | 0.99996 | 0.9738 |
| 17 | 1 | 0.99997 | 0.98039 |
| 18(6 I) | 1 | 0.99997 | 0.98553 |
| 19 | 1 | 0.99999 | 0.98932 |
| 20 | 1 | 1 | 0.9921 |
| 21(7 I) | 1 | 1 | 0.9943 |
| 22 | 1 | 1 | 0.99573 |
| 23 | 1 | 1 | 0.99671 |
| 24(8 I) | 1 | 1 | 0.99766 |
| 25 | 1 | 1 | 0.99834 |
| 26 | 1 | 1 | 0.999 |
| 27(9 I) | 1 | 1 | 0.99936 |
| 28 | 1 | 1 | 0.99967 |
| 29 | 1 | 1 | 0.99989 |
| 30(10 I) | 1 | 1 | 1 |
And again, with +1/256 to each chance.
| Turn | Lv 1 | Lv 2 | Lv 3 |
| 1 | 1 | 0 | 0.00037 |
| 2 | 1 | 0.50585 | 0.00037 |
| 3(1 I) | 1 | 0.7554 | 0.12981 |
| 4 | 1 | 0.87813 | 0.28842 |
| 5 | 1 | 0.93841 | 0.43937 |
| 6(2 I) | 1 | 0.96978 | 0.56626 |
| 7 | 1 | 0.98482 | 0.66786 |
| 8 | 1 | 0.99253 | 0.74835 |
| 9(3 I) | 1 | 0.99628 | 0.81065 |
| 10 | 1 | 0.99819 | 0.85851 |
| 11 | 1 | 0.99915 | 0.89415 |
| 12(4 I) | 1 | 0.99966 | 0.92125 |
| 13 | 1 | 0.99983 | 0.94058 |
| 14 | 1 | 0.99994 | 0.95585 |
| 15(5 I) | 1 | 0.99996 | 0.9672 |
| 16 | 1 | 0.99997 | 0.97559 |
| 17 | 1 | 0.99998 | 0.98206 |
| 18(6 I) | 1 | 0.99999 | 0.98688 |
| 19 | 1 | 0.99999 | 0.99069 |
| 20 | 1 | 1 | 0.99318 |
| 21(7 I) | 1 | 1 | 0.99507 |
| 22 | 1 | 1 | 0.99642 |
| 23 | 1 | 1 | 0.99753 |
| 24(8 I) | 1 | 1 | 0.99827 |
| 25 | 1 | 1 | 0.99874 |
| 26 | 1 | 1 | 0.99912 |
| 27(9 I) | 1 | 1 | 0.99952 |
| 28 | 1 | 1 | 0.9998 |
| 29 | 1 | 1 | 0.99991 |
| 30(10 I) | 1 | 1 | 1 |