Mining hat

[GM-Ayu]

The mining hat works similar to the fishing hat.

Basically whenever you mine, there is a x/y chance of getting a certain item, and anything else means the picks break. Having the mining hat will lower the denominator value, thus indirectly do the following:

-decrease the chance of the pick breaking/getting nothing
-increase the chance of the pick getting any items (but not in an uniform equation)

Note: if you want a scientifically relevant test on either fishing or mining hat, you probably need a lot more picks than 500... If I remember correctly, the denominator value is something close to 340-ish with many sub-cases (eg. if you got number 21-40 out of 340 possibility, then there is a further 1/17 chance to get Result A, 5/17 to get Result B, 11/17 to get Result C, and so on.) Anyway, it's quite a mess if you want to calculate the exact statistical increase in probability of getting certain item with or without the fishing/mining hat.

The overall *GENERALIZATION* is that having the hat reduces chances of the pick breaking by approximately 3%.