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 | 0.9959 | 0 | 0.00054 |
| 2 | 1 | 0.49708 | 0.00054 |
| 3(1 I) | 1 | 0.74911 | 0.12572 |
| 4 | 1 | 0.87406 | 0.28105 |
| 5 | 1 | 0.93692 | 0.42973 |
| 6(2 I) | 1 | 0.96873 | 0.55721 |
| 7 | 1 | 0.98467 | 0.66 |
| 8 | 1 | 0.99219 | 0.74111 |
| 9(3 I) | 1 | 0.99621 | 0.80487 |
| 10 | 1 | 0.9983 | 0.85134 |
| 11 | 1 | 0.99912 | 0.88867 |
| 12(4 I) | 1 | 0.99956 | 0.91612 |
| 13 | 1 | 0.99979 | 0.93745 |
| 14 | 1 | 0.99992 | 0.95308 |
| 15(5 I) | 1 | 0.99997 | 0.96435 |
| 16 | 1 | 0.99999 | 0.97317 |
| 17 | 1 | 0.99999 | 0.97992 |
| 18(6 I) | 1 | 0.99999 | 0.98515 |
| 19 | 1 | 1 | 0.98922 |
| 20 | 1 | 1 | 0.99208 |
| 21(7 I) | 1 | 1 | 0.99428 |
| 22 | 1 | 1 | 0.99587 |
| 23 | 1 | 1 | 0.99701 |
| 24(8 I) | 1 | 1 | 0.99778 |
| 25 | 1 | 1 | 0.9984 |
| 26 | 1 | 1 | 0.99893 |
| 27(9 I) | 1 | 1 | 0.99928 |
| 28 | 1 | 1 | 0.99956 |
| 29 | 1 | 1 | 0.99981 |
| 30(10 I) | 1 | 1 | 1 |
And again, with +1/256 to each chance.
| Turn | Lv 1 | Lv 2 | Lv 3 |
| 1 | 1 | 0 | 0.00041 |
| 2 | 1 | 0.50004 | 0.00041 |
| 3(1 I) | 1 | 0.75301 | 0.12704 |
| 4 | 1 | 0.87773 | 0.28585 |
| 5 | 1 | 0.93918 | 0.43757 |
| 6(2 I) | 1 | 0.96958 | 0.56427 |
| 7 | 1 | 0.98501 | 0.66748 |
| 8 | 1 | 0.99246 | 0.74862 |
| 9(3 I) | 1 | 0.99639 | 0.81044 |
| 10 | 1 | 0.99831 | 0.85794 |
| 11 | 1 | 0.99907 | 0.89282 |
| 12(4 I) | 1 | 0.99951 | 0.91975 |
| 13 | 1 | 0.99976 | 0.93989 |
| 14 | 1 | 0.99985 | 0.9555 |
| 15(5 I) | 1 | 0.99992 | 0.96678 |
| 16 | 1 | 0.99996 | 0.97578 |
| 17 | 1 | 0.99999 | 0.98185 |
| 18(6 I) | 1 | 1 | 0.98648 |
| 19 | 1 | 1 | 0.99031 |
| 20 | 1 | 1 | 0.99287 |
| 21(7 I) | 1 | 1 | 0.99498 |
| 22 | 1 | 1 | 0.99628 |
| 23 | 1 | 1 | 0.99718 |
| 24(8 I) | 1 | 1 | 0.99802 |
| 25 | 1 | 1 | 0.99856 |
| 26 | 1 | 1 | 0.99907 |
| 27(9 I) | 1 | 1 | 0.99941 |
| 28 | 1 | 1 | 0.9997 |
| 29 | 1 | 1 | 0.99986 |
| 30(10 I) | 1 | 1 | 1 |