Using AnyDice.com to calculate Non traditional dice combinations

Question

I am not learned enough to figure this out alone. Not yet at least.

I am trying to figure out how to use anydice.com to get probabilities of two different situations with dice.

The main question is to do with Skyrim The adventure game by Modiphius. It uses d6 with the sides being 1 1 1 2 2 3. Skill tests usually require you to roll at least 3 of those die and match specific outcomes, such as,

• test pass if TWO 1's are rolled
• test pass if ONE 1 and ONE 2 are rolled
• test pass if TWO 2's and ONE 3 are rolled

I want to figure out how to get the probability of those mixed rolls using between 2 and 6 dice using anydice.com

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The other less important question is how to use anydice.com to calculate the probability of rolling different types of Dice and getting at least a specific number when added together. For example, rolling a D 4 and D12 and D20 getting at least a 23 lets say

Answer 1

Thanks everyone for the answers and input. For redundancy to get an answer I did ask the creator of Anydice.com. He in fact wrote back and gave this answer. Its just amazing.

function: count occurrences in R:s {
 result: (R = 3) * 100 + (R = 2) * 10 + (R = 1)
}

loop N over {2..6} {
 output [count occurrences in Nd{1,1,1,2,2,3}] named "[N] dice"
}

Answer 2

You can expand a pool into a sequence using a function, then use the built-in count function:

function: skyrim ROLL:s target ONES:n TWOS:n THREES:n {
  result: [count 1 in ROLL] >= ONES & 
          [count 2 in ROLL] >= TWOS & 
          [count 3 in ROLL] >= THREES
}

DIE: d{1, 1, 1, 2, 2, 3}

output [skyrim 3dDIE target 2 0 1]

This is three dice trying to achieve a target of 2 ones, 0 twos, and 1 three. Alternatively, you can define the target using a sequence as well:

function: skyrim ROLL:s vs TARGET:s {
  result: [count 1 in ROLL] >= [count 1 in TARGET] & 
          [count 2 in ROLL] >= [count 2 in TARGET] & 
          [count 3 in ROLL] >= [count 3 in TARGET]
}

DIE: d{1, 1, 1, 2, 2, 3}

output [skyrim 3dDIE vs {1, 1, 3}]

In my own Icepool Python package you can use the superset operator on pools:

from icepool import Die

die = Die([1, 1, 1, 2, 2, 3])
output(die.pool(3) >= [1, 1, 3])

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how to use anydice.com to calculate the probability of rolling different types of Dice and getting at least a specific number when added together

There's an "At Least" button in AnyDice which will show the chances of getting at least each possible number on each roll you output. For example, enter the following program and then click the "At Least" button (or just click this link):

output d4 + d12 + d20