re-random.js

const p = 0.723;

function oldRandom() {
	return Math.random() < p ? 1 : 0;
}

const table = [[1, 2], [2, 3], [1, 3]];
let flag = 0;

function newRandom() {
	const f = flag ++;
	const r = oldRandom();
	return table[f % 3][((Math.floor(f / 3) & 1) ^ r )];
}

const test = 1000000;
const m = [0, 0, 0, 0];
for (let i = 0; i < test; i++) {
	m[newRandom()]++;
}

console.log(m.map(v => v / test));