Japanese values here (wow, a lot of them are considerably lower than US):
SOLO ATTACKS (I'd assume the Lucky values are the same in US, I assumed it was a multiplier)
Mario:
Jump - 0.2381 failed, 0.4778 successful (Lucky 0.9151)
Hammer - 0.1587 failed, 0.3175/4171/5167 (predetermined) successful (Lucky 0.8357)
Hand - 0.1182 failed, 0.4575 successful (Crit x2)
Counter - 0.1992 (both)
First Strike - 0.1992
Luigi:
Jump - 0.2381, 0.3984 (Lucky 0.7968)
Hammer - 0.1587, 0.3175/4373/5571 predetermined (Lucky 0.9960)
Hand - 0.1182, 0.4575 (Crit x2)
Counter - 0.1992
First Strike - 0.1992
BROS. ATTACKS
Splash Bros.
None - 0.2390
First A - 0.4779
First A, miss, last A - 0.7168
A,B - 0.9557
A,B,A - 1.0975
A, Adv. A - 0.4779
A, Adv. A,B - 0.7168
A, Adv. A,B,A - 1.0509
Swing Bros.
None / A w/missed release - 0.2390
A with timed release - 0.4779 ~ 0.7168
A, final B - 1.0751 ~ 1.9113
Adv. AB mashing - always 2 damage, apparently
Chopper Bros.
None - 0.2390
A - 0.4779
A,B - 0.7168
A,B,A - 0.5731 0.2389 0.1903 0.1418 0.0951 0.0466 0.0223...
A, Adv. A - 0.7877
A, Adv. A,B - 0.7168 0.2855 0.2389 0.1903 0.1418 0.0951 0.0951 0.0466 0.0466 0.0466 0.0223...
Fire Bros.
None / Luigi miss w/o Adv. - 0.2187
Successful hammered fireball (per) - 0.1521
Successful Adv. fireballs, miss hammer (per) - 0.0478
Successful Adv. fireballs, miss last A (per) - 0.1094
Successful Adv. fireballs, hit last A (per) - 0.1965
Bounce Bros.
None - 0.2390
First B - 0.4779
First B, miss, last B - 0.7168
B,A - 0.9557
B,A,B - 1.1703
Adv. A - 0.7168
Adv. A,B, miss last hits - 0.3584 each
Adv. A,B, last hits - 0.6197 each
Knockback Bros.
None - 0.2390
First B / First B, Adv. A - 0.4779
B,B / B, Adv. A,B - 0.7168
B,B,A - 0.9557
B, Adv. A,B,A - 0.7634 0.2855 0.2389 0.1903 0.1418 0.1194 0.0951 0.0709 0.0466 0.0223...
B, Adv. A,B,A, miss an A - 0.0131
Cyclone Bros.
None - 0.2390
Per hit, after first B - 0.1419/1643/1867 predetermined
Final Adv. B, miss A - 0.1195
Final Adv. B,A - 0.1904/2371/2838 predetermined
Thunder Bros.
None - 0.2584
B - 0.5168
B,B - 0.1030 to all
B,B,B - 0.6197 to all
B, Adv. A - 0.6197
B, Adv. A,A - 0.8256
B, Adv. A,A,B - 1.1364
Red Peppers give +50% POW to the user in the US version, I'll test to see if it affects Mush Badges. EDIT: Hmm, but only +25% in the Japanese version. And it does include Mush Badges in both cases.