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 | 0.99585 | 0 | 0.00043 |
| 2 | 0.99999 | 0.49691 | 0.00043 |
| 3(1 I) | 1 | 0.74777 | 0.126 |
| 4 | 1 | 0.87463 | 0.27944 |
| 5 | 1 | 0.93663 | 0.42743 |
| 6(2 I) | 1 | 0.96949 | 0.55613 |
| 7 | 1 | 0.98444 | 0.65833 |
| 8 | 1 | 0.99211 | 0.73914 |
| 9(3 I) | 1 | 0.99627 | 0.80166 |
| 10 | 1 | 0.99817 | 0.85033 |
| 11 | 1 | 0.99905 | 0.88761 |
| 12(4 I) | 1 | 0.99954 | 0.91604 |
| 13 | 1 | 0.99972 | 0.93671 |
| 14 | 1 | 0.99984 | 0.95248 |
| 15(5 I) | 1 | 0.99994 | 0.96458 |
| 16 | 1 | 0.99998 | 0.97367 |
| 17 | 1 | 0.99999 | 0.98051 |
| 18(6 I) | 1 | 1 | 0.98567 |
| 19 | 1 | 1 | 0.98964 |
| 20 | 1 | 1 | 0.99241 |
| 21(7 I) | 1 | 1 | 0.99428 |
| 22 | 1 | 1 | 0.99583 |
| 23 | 1 | 1 | 0.99691 |
| 24(8 I) | 1 | 1 | 0.9978 |
| 25 | 1 | 1 | 0.99847 |
| 26 | 1 | 1 | 0.99903 |
| 27(9 I) | 1 | 1 | 0.99935 |
| 28 | 1 | 1 | 0.9996 |
| 29 | 1 | 1 | 0.99984 |
| 30(10 I) | 1 | 1 | 1 |
And again, with +1/256 to each chance.
| Turn | Lv 1 | Lv 2 | Lv 3 |
| 1 | 1 | 0 | 0.00033 |
| 2 | 1 | 0.50472 | 0.00033 |
| 3(1 I) | 1 | 0.75331 | 0.12948 |
| 4 | 1 | 0.87805 | 0.28627 |
| 5 | 1 | 0.93993 | 0.43416 |
| 6(2 I) | 1 | 0.96974 | 0.56328 |
| 7 | 1 | 0.98498 | 0.66751 |
| 8 | 1 | 0.9926 | 0.74698 |
| 9(3 I) | 1 | 0.99628 | 0.80988 |
| 10 | 1 | 0.9981 | 0.85703 |
| 11 | 1 | 0.999 | 0.89358 |
| 12(4 I) | 1 | 0.99959 | 0.92042 |
| 13 | 1 | 0.99977 | 0.94082 |
| 14 | 1 | 0.99989 | 0.95568 |
| 15(5 I) | 1 | 0.99994 | 0.96642 |
| 16 | 1 | 0.99997 | 0.97497 |
| 17 | 1 | 0.99999 | 0.9815 |
| 18(6 I) | 1 | 1 | 0.98624 |
| 19 | 1 | 1 | 0.98996 |
| 20 | 1 | 1 | 0.99228 |
| 21(7 I) | 1 | 1 | 0.99444 |
| 22 | 1 | 1 | 0.99592 |
| 23 | 1 | 1 | 0.99701 |
| 24(8 I) | 1 | 1 | 0.99796 |
| 25 | 1 | 1 | 0.99861 |
| 26 | 1 | 1 | 0.99913 |
| 27(9 I) | 1 | 1 | 0.99946 |
| 28 | 1 | 1 | 0.99969 |
| 29 | 1 | 1 | 0.99988 |
| 30(10 I) | 1 | 1 | 1 |