Probability Manipulation (good) – The ability to make unlikely good events more likely i.e. good luck.
Longshot (Marvel) is a superhero that has this superpower.
Shamrock (Marvel) can psionically change probability fields to her advantage in Official Handbook of the Marvel Universe V1 #9.
Vector 13 – “Case One Side Step” – 2000 AD #1062
Hazard (DC) can cause both good and bad luck in Who’s Who Update ’87 #3.
Next 362) Psychic Weapons