---
id: 5900f4f21000cf542c510004
title: 'Problem 389: Platonic Dice'
challengeType: 5
forumTopicId: 302053
dashedName: problem-389-platonic-dice
---

# --description--

An unbiased single 4-sided die is thrown and its value, T, is noted.T unbiased 6-sided dice are thrown and their scores are added together. The sum, C, is noted.C unbiased 8-sided dice are thrown and their scores are added together. The sum, O, is noted.O unbiased 12-sided dice are thrown and their scores are added together. The sum, D, is noted.D unbiased 20-sided dice are thrown and their scores are added together. The sum, I, is noted.

Find the variance of I, and give your answer rounded to 4 decimal places.

# --hints--

`euler389()` should return 2406376.3623.

```js
assert.strictEqual(euler389(), 2406376.3623);
```

# --seed--

## --seed-contents--

```js
function euler389() {

  return true;
}

euler389();
```

# --solutions--

```js
// solution required
```