---
id: 5900f4391000cf542c50ff4c
challengeType: 5
title: 'Problem 205: Dice Game'
forumTopicId: 301846
---

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

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler205()</code> should return 0.5731441.
    testString: assert.strictEqual(euler205(), 0.5731441);

```

</section>

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

<div id='js-seed'>

```js
function euler205() {
  // Good luck!
  return true;
}

euler205();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>