Corkian Selector

Add corkian selectors, a mythic lootrunning item like insulators and simulators. When at least 1 is used, all identifications except the one selected are locked. Adding selectors allows multiple identifications to be selected for reroll. These are basically the inverse of insulators.

EDIT: Since people are under the impression that these are more powerful than insulators, I will make an argument for why they are actually less powerful for the values people actually want from identifications in Wynncraft.

Take the case where we have n identifications(that we care about), and want them all above t. On a random roll, the odds of getting k rolls above t is (n choose k)/ (t^k*t^(n-k)).

Now we can look at what happens on the second roll when we use an insulator/selector. In the case of using c selectors, we give ourselves c 2nd chances on any bad rolls. This shifts our probability distribution(except in the case of less than c bad rolls) by substituting k-c*(1-t) for k in our formula, because we lower the threshold number of successes by the expected value of our successes added by the selectors.

When we use insulators, our distribution(except when there are less than c good rolls) is changed into (n-c choose k-c)/(some normalization factor I don't feel like typing, but just sub in like before), because we remove c rolls from the pool which are now guaranteed successes.

From these, one can find the range from -infinity to x where the integral of the function over its norm is 1/2(or have wolfram alpha do it), and they will find that the expected successes with insulators are higher with t> ~0.7. This means if you want n rolls to all be above 70%, the same number of insulators is better than the same number of selectors, otherwise selectors are better. It is left as an exercise to the reader to check my terrible and shaky math, and also check the cases where there are less than c good rolls/bad rolls.

 

This seems pretty overpowered. Selectors would just be a much stronger version of insulators. I guess the drawback is that only one stat will ever improve at a time, but it definitely would make good mythics much easier to obtain.

 

Not really a drawback if its only a few bad rolls compared to the number of good ones, or a few hella good ones

 

All corkian augments make good mythics easier to obtain. These would not be statistically better than insulators, and since roll count still increases and they can each only roll one stat at a time(and that stat doesn't necessarily get better) I don't think they're nearly as op as you think.