D&D 5E Where's an advantage/disadvantage table with *analytical* probabilities?

[Sword of Spirit]

I'm looking for a webpage I can bookmark on my phone for when I want to pull up an advantage/disadvantage probability table (you know, for all of those times your are doing 5e armchair theory crafting and don't have your computer close).

Since I'm going to be viewing it on my phone, I'm looking for something accessible and easy to look at.

Unfortunately, when I googled it, the tables I'm seeing are based on simulations rather than analytical results. Now, sure, they're very close, but if you're going to do it at all, why not do it right. And it's not like it can't be done by those who know how to do it. It can and it has.

The problem is that I'm not sure where to find a link to a nice table giving me those values. What I'm seeing on Google that gives you a simple table are:

http://andrewgelman.com/2014/07/12/dnd-5e-advantage-disadvantage-probability/

and

http://onlinedungeonmaster.com/2012/05/24/advantage-and-disadvantage-in-dd-next-the-math/

...which are both based on simulations (although someone gives the analytical values in the comments on the first link).

So, my question is simply: does anyone have a link to a browser accessible table with the analytical values?

 

[Tony Vargas]

http://community.wizards.com/sites/mtgcommunity/files/pictures/011466cd8df8a16e31874ab0c0e99ab9.gif

If you want, you can just get out a spreadsheet and do up a table pretty quickly:
To figure your chance of success with advantage, multiply your chance of failure by the chance of success and add the result to your original chance of success.
With disadvantage, your chance of success is the square of your original chance of success.

 

[Saeviomagy]

For advantage
P(X) = 1 - (1 - ( 1 - (X-1)/20) )^2
or
P(X) = 1 - ((1-X)/20)^2

For disadvantage
P(X) = (1-(X-1)/20)^2

With neither
P(X) = 1 - (X-1)/20

Or in excel-ese (put the formulas across the first row, then fill down to 20)

For advantage
1 - (1 - power( 1 - (row()-1)/20, 2))
or
1 - power((1-row())/20,2)

For disadvantage
power(1-(row()-1)/20, 2)

With neither
1 - (row()-1)/20