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 | 0.99597 | 0 | 0.00049 |
| 2 | 0.99998 | 0.49873 | 0.00049 |
| 3(1 I) | 1 | 0.74917 | 0.12515 |
| 4 | 1 | 0.87447 | 0.28165 |
| 5 | 1 | 0.93732 | 0.43058 |
| 6(2 I) | 1 | 0.96897 | 0.55708 |
| 7 | 1 | 0.98462 | 0.66184 |
| 8 | 1 | 0.99193 | 0.74235 |
| 9(3 I) | 1 | 0.99585 | 0.80431 |
| 10 | 1 | 0.99796 | 0.85308 |
| 11 | 1 | 0.99897 | 0.88952 |
| 12(4 I) | 1 | 0.9995 | 0.91709 |
| 13 | 1 | 0.99972 | 0.93822 |
| 14 | 1 | 0.9998 | 0.95349 |
| 15(5 I) | 1 | 0.99987 | 0.96532 |
| 16 | 1 | 0.99993 | 0.97414 |
| 17 | 1 | 0.99996 | 0.98063 |
| 18(6 I) | 1 | 0.99998 | 0.98565 |
| 19 | 1 | 0.99999 | 0.9895 |
| 20 | 1 | 1 | 0.99205 |
| 21(7 I) | 1 | 1 | 0.99408 |
| 22 | 1 | 1 | 0.99564 |
| 23 | 1 | 1 | 0.99689 |
| 24(8 I) | 1 | 1 | 0.99777 |
| 25 | 1 | 1 | 0.99835 |
| 26 | 1 | 1 | 0.99893 |
| 27(9 I) | 1 | 1 | 0.99941 |
| 28 | 1 | 1 | 0.99968 |
| 29 | 1 | 1 | 0.99987 |
| 30(10 I) | 1 | 1 | 1 |
And again, with +1/256 to each chance.
| Turn | Lv 1 | Lv 2 | Lv 3 |
| 1 | 1 | 0 | 0.00045 |
| 2 | 1 | 0.50392 | 0.00045 |
| 3(1 I) | 1 | 0.75579 | 0.12724 |
| 4 | 1 | 0.87879 | 0.28803 |
| 5 | 1 | 0.93952 | 0.43909 |
| 6(2 I) | 1 | 0.97009 | 0.56559 |
| 7 | 1 | 0.98536 | 0.66741 |
| 8 | 1 | 0.99292 | 0.74809 |
| 9(3 I) | 1 | 0.99635 | 0.81041 |
| 10 | 1 | 0.99811 | 0.85717 |
| 11 | 1 | 0.99903 | 0.89228 |
| 12(4 I) | 1 | 0.99954 | 0.9196 |
| 13 | 1 | 0.99977 | 0.93962 |
| 14 | 1 | 0.99988 | 0.95444 |
| 15(5 I) | 1 | 0.99994 | 0.96578 |
| 16 | 1 | 0.99997 | 0.97495 |
| 17 | 1 | 0.99999 | 0.98127 |
| 18(6 I) | 1 | 0.99999 | 0.98594 |
| 19 | 1 | 0.99999 | 0.98978 |
| 20 | 1 | 0.99999 | 0.99249 |
| 21(7 I) | 1 | 1 | 0.99471 |
| 22 | 1 | 1 | 0.99607 |
| 23 | 1 | 1 | 0.99726 |
| 24(8 I) | 1 | 1 | 0.99802 |
| 25 | 1 | 1 | 0.9987 |
| 26 | 1 | 1 | 0.99923 |
| 27(9 I) | 1 | 1 | 0.99956 |
| 28 | 1 | 1 | 0.99973 |
| 29 | 1 | 1 | 0.9999 |
| 30(10 I) | 1 | 1 | 1 |