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 | 0.99573 | 0 | 0.00046 |
2 | 0.99997 | 0.49616 | 0.00046 |
3(1 I) | 1 | 0.74872 | 0.12325 |
4 | 1 | 0.87535 | 0.28092 |
5 | 1 | 0.93696 | 0.42948 |
6(2 I) | 1 | 0.96821 | 0.5565 |
7 | 1 | 0.98384 | 0.65982 |
8 | 1 | 0.99216 | 0.73935 |
9(3 I) | 1 | 0.99615 | 0.8033 |
10 | 1 | 0.99812 | 0.85193 |
11 | 1 | 0.99899 | 0.88937 |
12(4 I) | 1 | 0.99951 | 0.91732 |
13 | 1 | 0.99971 | 0.93824 |
14 | 1 | 0.99985 | 0.95362 |
15(5 I) | 1 | 0.99993 | 0.96538 |
16 | 1 | 0.99995 | 0.97447 |
17 | 1 | 0.99997 | 0.98076 |
18(6 I) | 1 | 0.99997 | 0.98544 |
19 | 1 | 0.99998 | 0.98916 |
20 | 1 | 0.99999 | 0.99199 |
21(7 I) | 1 | 1 | 0.99399 |
22 | 1 | 1 | 0.99543 |
23 | 1 | 1 | 0.99665 |
24(8 I) | 1 | 1 | 0.9978 |
25 | 1 | 1 | 0.99852 |
26 | 1 | 1 | 0.99899 |
27(9 I) | 1 | 1 | 0.9993 |
28 | 1 | 1 | 0.99964 |
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 | 0.00045 |
2 | 1 | 0.50445 | 0.00045 |
3(1 I) | 1 | 0.75295 | 0.12921 |
4 | 1 | 0.87806 | 0.28614 |
5 | 1 | 0.93903 | 0.43566 |
6(2 I) | 1 | 0.97018 | 0.56279 |
7 | 1 | 0.98513 | 0.66479 |
8 | 1 | 0.99243 | 0.74594 |
9(3 I) | 1 | 0.99616 | 0.80795 |
10 | 1 | 0.99796 | 0.85568 |
11 | 1 | 0.99899 | 0.89196 |
12(4 I) | 1 | 0.99948 | 0.91968 |
13 | 1 | 0.99977 | 0.93957 |
14 | 1 | 0.99987 | 0.95438 |
15(5 I) | 1 | 0.99989 | 0.96673 |
16 | 1 | 0.99995 | 0.97542 |
17 | 1 | 0.99998 | 0.98157 |
18(6 I) | 1 | 0.99999 | 0.98622 |
19 | 1 | 0.99999 | 0.98956 |
20 | 1 | 0.99999 | 0.9921 |
21(7 I) | 1 | 0.99999 | 0.99421 |
22 | 1 | 1 | 0.99593 |
23 | 1 | 1 | 0.99697 |
24(8 I) | 1 | 1 | 0.99789 |
25 | 1 | 1 | 0.9985 |
26 | 1 | 1 | 0.99908 |
27(9 I) | 1 | 1 | 0.9995 |
28 | 1 | 1 | 0.99978 |
29 | 1 | 1 | 0.9999 |
30(10 I) | 1 | 1 | 1 |