---
id: 5900f4f21000cf542c510004
challengeType: 5
title: 'Problem 389: Platonic Dice'
---

## Description
<section id='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.
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler389()</code> should return 2406376.3623.
    testString: assert.strictEqual(euler389(), 2406376.3623);

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function euler389() {
  // Good luck!
  return true;
}

euler389();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>