What is the chance of Butt Stallion Giving an Orange item?

Solution 1:

Seems fairly random, but very low for a legendary item: From testing that people have posted their results for:

Green Actions           774     45.21%
Blue Actions            584     34.11%
Purple Actions (Stone)  298     17.41%
Purple Actions (Purple)  54      3.15%
Legendary Actions         2      0.12%
--------------------------------------
Grand Total            1712    100.00%

And remember, each one of these drops is 5 eridium!