How to model opposed rolls in Anydice?

I've seen there are quite a lot of brilliant people on this board answering questions about Anydice. I am hoping somebody will be kind enough to answer this one too.

I want to use anydice to figure out the probability of success with opposing dice rolls. For example, 1d6+1d8 (test roll) vs 1d10+1d4 (challenge roll). The challenge roll determines the target number. If the test roll meets or exceeds the challenge roll, the attempt succeeds.

How do I set that up in Anydice?

• Hi Nathal, welcome to rpg.se! Take the tour and visit the help center or ask here in the comment (use @ to ping someone) for more information. Good luck and happy gaming! Commented May 26, 2020 at 1:53

Anydice supports conditionals

Anydice can do this with the conditional operators (e.g. > < >= <= = !=). From the documentation page:

AnyDice allows you to compare two values, to check whether a certain condition is true. If so, the result will be a 1, otherwise a 0.

Therefore the simplest program you can make to do this is:

output (1d6+1d8) >= (1d10+1d4)


You can see this program here. Using brackets around the dice causes them to be treated a one distribution. >= is the symbol for 'greater than or equal to' which is the same as your 'meets or exceeds' condition. If you wanted simply 'exceeds' use > for 'greater than' instead.

You could easily make this into a function like this but it provides little benefit over the base program.

• Thank you for what you've explained, it is a great help, and almost embarrassingly easy now that I see it written. But I do have another question. I see in the documentation the author shows conditions for greater or "at least." I am guessing "at least" would be my "meets or exceeds" criteria for beating the challenge roll. It looks to me as though the buttons allow the selection of those options in the Anydice menu for different table/graph output types. But I'm not sure if there's a way to ensure the probability shows meets or exceeds rather than just exceeds the opposing roll. Commented May 26, 2020 at 3:32
• @Nathal How much to you know about conditional operators? > is 'greater than' and >= is 'greater than or equal to'. If you want meets or exceeds just change the > to >=. Commented May 26, 2020 at 3:36
• @Nathal No problem. If you want to learn more about probably and such I would suggest doing some research on mathematics and statistics. Commented May 26, 2020 at 3:46
• I noticed that all the symbols are in the documentation you mentioned as well, and I didn't recognize it for what it is. By the way, the "functions" in anydice...are they based on any particular programming language? I suspect that really shows my ignorance, but I ask anyway. lol Commented May 26, 2020 at 16:33
• @Nathal: The syntax is a bit unusual, and I'm not sure if it's based on any other language, but under the hood they work very much like functions in any other programming language with dynamic variable scoping. (Don't worry if you don't know what that means. :) ) Well, except for the automatic iteration over dice rolls — that's a unique feature AFAIK. It's not too hard to emulate in other languages (see this answer for some examples in Python), but normally you need to do it explicitly. Commented May 26, 2020 at 20:00