---
id: 5900f4391000cf542c50ff4c
challengeType: 5
title: 'Problem 205: Dice Game'
forumTopicId: 301846
---
## Description
Peter has nine four-sided (pyramidal) dice, each with faces numbered 1, 2, 3, 4.
Colin has six six-sided (cubic) dice, each with faces numbered 1, 2, 3, 4, 5, 6.
Peter and Colin roll their dice and compare totals: the highest total wins. The result is a draw if the totals are equal.
What is the probability that Pyramidal Pete beats Cubic Colin? Give your answer rounded to seven decimal places in the form 0.abcdefg
## Instructions
## Tests
```yml
tests:
- text: euler205() should return 0.5731441.
testString: assert.strictEqual(euler205(), 0.5731441);
```
## Challenge Seed
```js
function euler205() {
// Good luck!
return true;
}
euler205();
```