DiabloFans

I see a lot of Area Damage in your guides. With the recent news about AD is this still a viable stat for Barbs?

I am inquiring about the chance of upgrading a Legendary Gem. I am familiar with the chance going from 100% at 10+ level of gem down to 60% when the gem is the same level of the Greater Rift. After that it starts to decrease.

The game displays certain numbers:

GR-1 of Gem level = 30%
GR-2 of Gem level = 15%
GR-3 of Gem level = 8%
GR-4 of Gem level = 4%
GR-5 of Gem level = 2%
GR-6 of Gem level = 1%
GR-7 of Gem level = 1%

The display of 1% continues till 15 levels of difference when the chance displays 0%.

My question is, are the numbers correct or is the game rounding an actually percentage to display a prime percentage?

If you follow the decay function y=a(1-r)^x, where:
y= % Chance of success
a= 60% (the point at which the decay begins
r= .5 (the decay rate)
x= how many levels the GR is below the gem

with this formula the numbers are as follows:

GR-1 of Gem level = 30%
GR-2 of Gem level = 15%
GR-3 of Gem level = 7.5%
GR-4 of Gem level = 3.75%
GR-5 of Gem level = 1.875%
GR-6 of Gem level = 0.9375%
GR-7 of Gem level = 0.46875%
GR-8 of Gem level = 0.234375%
GR-9 of Gem level = 0.1171875%
GR-10 of Gem level = 0.05859375%

and so on.

If this is the case then the difference between a GR that is 6 levels below a gem is drastically different that a GR that is 14 levels below the Gem, and not equal as displayed by the game.

Anyone know?