---
id: 5900f4f21000cf542c510004
challengeType: 5
title: '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.
## Instructions
## Tests
```yml
tests:
- text: euler389() should return 2406376.3623.
testString: assert.strictEqual(euler389(), 2406376.3623, 'euler389() should return 2406376.3623.');
```
## Challenge Seed
```js
function euler389() {
// Good luck!
return true;
}
euler389();
```