Talk:Snow Blossom's Sparkling Crust/@comment-68.226.81.85-20150124052920/@comment-25889587-20150124152617

75% + 20% invulnerability will not give you a 95% invulnerability. Basically, if we do the logic, the 20% from the treasure covers out of the overall chance, not only the remaining 25% from Snow Blossom.

The nature of probability is multiplicative. So there's a chance that:
 * None of them is active.
 * Snow Blossom's effect is active.
 * Snow Blossom's Treasure is active.
 * Both are active.

Basically, to combine both chances, if we want to make the formula, it would be this: x1 + x2(100%-x1)

with X1 = 75% and X2 = 20%.

Putting it into the equation:

75% + 20%(100% - 75%) 75% + 20%(25%) 75% + 5% 80%

So, if combined, there's an 80% chance that the holes will be covered, and 20% chance that the hole will not be covered. The 80% can be either the pet effect is active, the treasure effect is active, or both are active.

UPDATE: It's fun to go through this so I'll put the statistics here. From our possible outcome above:

Known Data:
 * Snow Blossom's effect is active at 75% (x) and the chance of inactive is 25% (x')
 * Snow Blossom's Treasure effect is active 20% (y) and the chance of inactivity is 80% (y')

Therefore, the 80% that the holes will be covered consist of 60% from Snow Blossom, 5% from the treasure, and 15% by both.

I should make another blog post about this :P