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This is my raw data, taken straight from my Notepad.exe

Good Luck Ankh (50 tests)
Nothing ||||| ||||| ||||| ||||| (20)
-10 HP ||||| ||||| ||||| |||| (19)
+20 HP ||||| ||||| | (11)

Iceray Bracelet (50 tests)
3 ||||| ||||| | (11)
4 ||||| ||||| ||||| ||||| ||||| ||||| ||||| |||| (39)

Basic Rubber Axe (50 tests)
2 ||||| ||||| ||||| ||||| ||||| ||||| ||
3 ||||| ||||| ||||| |||

Genie Orb Test (200 tests)
Snowball ||||| ||||| ||||| ||||| ||||| ||||| ||||| ||||| ||||| ||
Attack ||||| ||||| ||||| ||||| ||||| ||||| ||||| ||||| |||||
-3 HP ||||| ||||| ||||| ||||| ||||| ||||| ||||| ||||| ||||| ||
+3 HP ||||| ||||| ||||| ||||| ||||| ||||| ||||| ||||| ||||| ||||| ||||| |||||

Hope these tests help =)

I don't think we're going to be able to use that Good Luck Ankh data, since the times when it did 'nothing' it essentially did either of the two defensive possibilities, which of the two you neglected to find.

The other 3 have testing results there already, so I'm kinda nervous about tampering with what's already there...

Testing is appreciated though!