Calculates expected value of maximum of discrete uniform random variables

expected_maximum.js

const rand = (min, max) => min + Math.floor((max - min + 1)*Math.random());

const maxOf = (min, max, n) => {
   let m = min;
   for (let i = 0; i < n; ++i) {
      m = Math.max(m, rand(min, max));
   }
   return m;
}

const expectedMaxOf = (min, max, n, sample) => {
   let sum = 0;
   for (let i = 0; i < sample; ++i) {
      sum += maxOf(min, max, n);
   }
   return sum / sample;
}

for (let i = 1; i <= 9; ++i) {
   console.log(`Cutoff (draws left: ${i}): ${expectedMaxOf(1, 100, i, 1000000)}`);
}