Paper Mario RNG

Close Call: 30%
Time out on Hallway Bowser: 30%
Up & Away: 95%
Fright Jars on Koopas: 90%
Fright Jars on Fuzzies: 95%

Power Bounces:

Blooper, Monstar and Lee:
7 Cap - 0%       To get this cap or higher
8 Cap - 6%       - 100%
9 Cap - 14.9%    - 94%
10 Cap - 19.6%   - 79.1%
11 Cap - 19.4%   - 59.5%
12 Cap - 15.9%   - 40.1%
13 Cap - 11.1%   - 24.2%
14 Cap - 6.8%    - 13.1%
15 Cap - 3.6%    - 6.3%
16 Cap - 1.7%    - 2.7%
17 Cap - 0.7%    - 1%
18 Cap - 0.2%    - 0.3%
19 Cap - 0.1%    - 0.1%
20 Cap - 0%

Electro Blooper:
5 Cap - 0%
6 Cap - 12.9%
7 Cap - 23.3%
8 Cap - 24%
9 Cap - 19%
10 Cap - 11.5%
11 Cap - 5.8%
12 Cap - 2.4%
13 Cap - 0.9%
14 Cap - 0.2%
15 Cap - 0%

Jr. Troopa (Chapter 1), Jr. Troopa (Chapter 3) and Master (1st Fight):
4 Cap - 0%
5 Cap - 18.9%
6 Cap - 28.9%
7 Cap - 25.3%
8 Cap - 16%
9 Cap - 7.4%
10 Cap - 2.6%
11 Cap - 0.8%
12 Cap - 0.1%
13 Cap - 0%

Jr. Troopa (Chapter 5), Jr. Troopa (Chapter 7), Tubba’s Heart, Tubba Blubba, Buzzar, Anti Guy, General Guy, Lantern Ghost, Fuzzipede, Spike?, Super Blooper, Master (2nd Fight):
3 Cap - 0%
4 Cap - 15.9%
5 Cap - 30.8%
6 Cap - 28%
7 Cap - 16.3%
8 Cap - 6.6%
9 Cap - 2%
10 Cap - 0.4%
11 Cap - 0%

Jr. Troopa (Chapter 8), Huff N. Puff, Crystal King, Lava Piranha, Master (3rd Fight), Kent C. Koopa, Tutankoopa:
3 Cap - 2% - 0%
4 Cap - 31.1% - 10%
5 Cap - 35.1% - 27.6%
6 Cap - 21.5% - 29.1%
7 Cap - 8% - 19.8%
8 Cap - 2% - 9.4%
9 Cap - 0.3% - 3.2%
10 Cap - 0% - 0.8%
11 Cap - 0% - 0.1%

Hallway Bowser:
3 Cap - 15.9% - 0%
4 Cap - 38.3% - 25.8%
5 Cap - 29.5% - 34.5%
6 Cap - 12.6% - 24.4%
7 Cap - 3.2% - 11.1%
8 Cap - 0.5% - 3.4%
9 Cap - 0% - 0.7%
10 Cap - 0% - 0.1%

Final Bowser (Phase 2):
3 Cap - 27.8% - 10.9%
4 Cap - 40.8% - 36.2%
5 Cap - 23.3% - 32%
6 Cap - 6.9% - 15.3%
7 Cap - 1.1% - 4.7%
8 Cap - 0.1% - 0.8%
9 Cap - 0% - 0.1%

Final Bowser (Phase 1):
3 Cap - 49.6% - 35.7%
4 Cap - 37.5% - 40.8%
5 Cap - 11.3% - 18.6%
6 Cap - 1.5% - 4.4%
7 Cap - 0.1% - 0.5%
8 Cap - 0%



Final Bowser AI

No Charge
Turn 3 Star Shield 15%
Turn 4 Star Shield .85*.75 = 63.75%
Turn 5 Star Shield .85*.25*.75 = 15.9375%
Turn 6 Star Shield .85*.25*.25*.75 = 3.984375%
Turn 7 Star Shield .85*.25*.25*.25*.75 = 0.99609375%
Turn 8 Star Shield .85*.25*.25*.25*.25*.75 = 0.249023437%
Turn 9 Star Shield .85*.25*.25*.25*.25*.25*.75 = 0.0622558594%

3  1/.15 = 1/6.6666
4  1/.6375 = 1/1.56862745
5  1/.159375 = 1/6.2745098
6  1/.03984375 = 1/25.0980392
7  1/.0099609375 = 1/100.392157
8  1/.00249023437 = 1/401.57
9  1/.000622558594 = 1/1601

Turn 1: Buttstomp 25% / Claw (.75*.33) = 24.75% / Fire (.75*.67) = 50.25%

If Fire
Turn 2: Buttstomp 25% / Claw (.75*.33) = 24.75% / Fire (.75*.67) = 50.25%
If Claw
Turn 2: Buttstomp 25% / Claw 0% / Fire (.75*.67) = 75%
If Buttstomp
Turn 2: Buttstomp 0% / Claw (.75*.33) = 24.75% / Fire (.75*.67) = 75.25%

If Fire
Turn 3: Star Shield 15% / Buttstomp (.85*.25) = 21.25% / Claw (.85*.75*.33) = 21.0375% / Fire (.85*.75*.67) = 42.7125%
If Claw
Turn 3: Star Shield 15% / Buttstomp (.85*.25) = 21.25% / Claw 0% / Fire (.85*.75) = 63.75%
If Buttstomp
Turn 3: Star Shield 15% / Buttstomp 0% / Claw (.85*.75*.33) = 21.0375% / Fire (.85*.75) = 63.9625%

Turn 4

Charge
Turn 3 Star Shield 15%