---
id: 5900f4391000cf542c50ff4c
title: 'Problem 205: Dice Game'
challengeType: 5
forumTopicId: 301846
dashedName: problem-205-dice-game
---

# --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

# --hints--

`euler205()` should return 0.5731441.

```js
assert.strictEqual(euler205(), 0.5731441);
```

# --seed--

## --seed-contents--

```js
function euler205() {

  return true;
}

euler205();
```

# --solutions--

```js
// solution required
```