Royal Game of Ur - Dice roll distribution

diceProb.output.md

Distribution of outcomes:  { '0': 81, '1': 108, '2': 54, '3': 12, '4': 1 }
Total number of outcomes:  256
Probability for each outcome:  { '0': 0.31640625,
  '1': 0.421875,
  '2': 0.2109375,
  '3': 0.046875,
  '4': 0.00390625 }
Total probability:  1

diceProb.ts

const diceSides = [0, 0, 0, 1];
const dist = {};

for (let i in diceSides) {
  for (let j in diceSides) {
    for (let k in diceSides) {
      for (let l in diceSides) {
        let sum = diceSides[i] + diceSides[j] + diceSides[k] + diceSides[l];
        if (!(sum in dist)) {
          dist[sum] = 0;
        }
        dist[sum] += 1;
      }
    }
  }
}

console.log("Distribution of outcomes: ", dist);

let total = 0;
const prob = {};

Object.keys(dist).forEach(key => {
  total += dist[key];
});

console.log("Total number of outcomes: ", total);

Object.keys(dist).forEach(key => {
  prob[key] = dist[key] / total;
});

console.log("Probability for each outcome: ", prob);

let totalProb = 0;
Object.keys(prob).forEach(key => (totalProb += prob[key]));
console.log("Total probability: ", totalProb);