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 | 0.99624 | 0 | 0.00049 |
2 | 1 | 0.49702 | 0.00049 |
3(1 I) | 1 | 0.74828 | 0.12294 |
4 | 1 | 0.87341 | 0.2795 |
5 | 1 | 0.93736 | 0.42864 |
6(2 I) | 1 | 0.9683 | 0.5565 |
7 | 1 | 0.98389 | 0.65865 |
8 | 1 | 0.99193 | 0.73961 |
9(3 I) | 1 | 0.99626 | 0.8035 |
10 | 1 | 0.99813 | 0.85203 |
11 | 1 | 0.99908 | 0.88903 |
12(4 I) | 1 | 0.99954 | 0.91633 |
13 | 1 | 0.99979 | 0.93727 |
14 | 1 | 0.99991 | 0.95302 |
15(5 I) | 1 | 0.99997 | 0.96492 |
16 | 1 | 0.99998 | 0.97395 |
17 | 1 | 0.99998 | 0.98058 |
18(6 I) | 1 | 1 | 0.98576 |
19 | 1 | 1 | 0.98952 |
20 | 1 | 1 | 0.9919 |
21(7 I) | 1 | 1 | 0.99436 |
22 | 1 | 1 | 0.99581 |
23 | 1 | 1 | 0.997 |
24(8 I) | 1 | 1 | 0.9978 |
25 | 1 | 1 | 0.99845 |
26 | 1 | 1 | 0.99899 |
27(9 I) | 1 | 1 | 0.99938 |
28 | 1 | 1 | 0.99965 |
29 | 1 | 1 | 0.99985 |
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 | 0.50287 | 0.00033 |
3(1 I) | 1 | 0.75508 | 0.12853 |
4 | 1 | 0.87881 | 0.28697 |
5 | 1 | 0.94081 | 0.43809 |
6(2 I) | 1 | 0.96999 | 0.56619 |
7 | 1 | 0.98487 | 0.66825 |
8 | 1 | 0.99237 | 0.74784 |
9(3 I) | 1 | 0.99636 | 0.81029 |
10 | 1 | 0.9983 | 0.85787 |
11 | 1 | 0.99907 | 0.89331 |
12(4 I) | 1 | 0.99967 | 0.92034 |
13 | 1 | 0.99979 | 0.94091 |
14 | 1 | 0.99987 | 0.95591 |
15(5 I) | 1 | 0.99993 | 0.96756 |
16 | 1 | 0.99996 | 0.97612 |
17 | 1 | 0.99998 | 0.98242 |
18(6 I) | 1 | 0.99999 | 0.98697 |
19 | 1 | 0.99999 | 0.99019 |
20 | 1 | 1 | 0.99302 |
21(7 I) | 1 | 1 | 0.99489 |
22 | 1 | 1 | 0.9961 |
23 | 1 | 1 | 0.99708 |
24(8 I) | 1 | 1 | 0.99806 |
25 | 1 | 1 | 0.99876 |
26 | 1 | 1 | 0.99922 |
27(9 I) | 1 | 1 | 0.9995 |
28 | 1 | 1 | 0.99971 |
29 | 1 | 1 | 0.99987 |
30(10 I) | 1 | 1 | 1 |