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 | 0.99578 | 0 | 0.00059 |
2 | 0.99998 | 0.49649 | 0.00059 |
3(1 I) | 1 | 0.7498 | 0.12485 |
4 | 1 | 0.87494 | 0.27975 |
5 | 1 | 0.9367 | 0.42831 |
6(2 I) | 1 | 0.96819 | 0.55643 |
7 | 1 | 0.98431 | 0.65975 |
8 | 1 | 0.99189 | 0.7397 |
9(3 I) | 1 | 0.99584 | 0.80223 |
10 | 1 | 0.99779 | 0.84998 |
11 | 1 | 0.99884 | 0.88727 |
12(4 I) | 1 | 0.99942 | 0.9157 |
13 | 1 | 0.99975 | 0.93679 |
14 | 1 | 0.9999 | 0.95191 |
15(5 I) | 1 | 0.99996 | 0.96449 |
16 | 1 | 0.99997 | 0.97341 |
17 | 1 | 0.99998 | 0.97976 |
18(6 I) | 1 | 0.99999 | 0.98497 |
19 | 1 | 1 | 0.98834 |
20 | 1 | 1 | 0.99107 |
21(7 I) | 1 | 1 | 0.99341 |
22 | 1 | 1 | 0.99508 |
23 | 1 | 1 | 0.9965 |
24(8 I) | 1 | 1 | 0.99769 |
25 | 1 | 1 | 0.9985 |
26 | 1 | 1 | 0.99893 |
27(9 I) | 1 | 1 | 0.99929 |
28 | 1 | 1 | 0.99963 |
29 | 1 | 1 | 0.99983 |
30(10 I) | 1 | 1 | 1 |
And again, with +1/256 to each chance.
Turn | Lv 1 | Lv 2 | Lv 3 |
1 | 1 | 0 | 0.00046 |
2 | 1 | 0.5052 | 0.00046 |
3(1 I) | 1 | 0.75417 | 0.12813 |
4 | 1 | 0.87757 | 0.2864 |
5 | 1 | 0.93876 | 0.43675 |
6(2 I) | 1 | 0.96921 | 0.56378 |
7 | 1 | 0.98454 | 0.66667 |
8 | 1 | 0.99244 | 0.74595 |
9(3 I) | 1 | 0.99606 | 0.80894 |
10 | 1 | 0.99823 | 0.8568 |
11 | 1 | 0.99907 | 0.89361 |
12(4 I) | 1 | 0.9994 | 0.92089 |
13 | 1 | 0.99973 | 0.94117 |
14 | 1 | 0.99987 | 0.95621 |
15(5 I) | 1 | 0.99993 | 0.96717 |
16 | 1 | 0.99996 | 0.97538 |
17 | 1 | 0.99998 | 0.98123 |
18(6 I) | 1 | 0.99999 | 0.98611 |
19 | 1 | 1 | 0.98957 |
20 | 1 | 1 | 0.99249 |
21(7 I) | 1 | 1 | 0.99427 |
22 | 1 | 1 | 0.99599 |
23 | 1 | 1 | 0.99722 |
24(8 I) | 1 | 1 | 0.99799 |
25 | 1 | 1 | 0.99856 |
26 | 1 | 1 | 0.99903 |
27(9 I) | 1 | 1 | 0.99936 |
28 | 1 | 1 | 0.99967 |
29 | 1 | 1 | 0.99989 |
30(10 I) | 1 | 1 | 1 |