---
id: 5900f44f1000cf542c50ff61
challengeType: 5
title: 'Problem 227: The Chase'
forumTopicId: 301870
---

## Description
<section id='description'>
"The Chase" is a game played with two dice and an even number of players.

The players sit around a table; the game begins with two opposite players having one die each. On each turn, the two players with a die roll it.
If a player rolls a 1, he passes the die to his neighbour on the left; if he rolls a 6, he passes the die to his neighbour on the right; otherwise, he keeps the die for the next turn.
The game ends when one player has both dice after they have been rolled and passed; that player has then lost.

In a game with 100 players, what is the expected number of turns the game lasts?
Give your answer rounded to ten significant digits.
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler227()</code> should return 3780.618622.
    testString: assert.strictEqual(euler227(), 3780.618622);

```

</section>

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

<div id='js-seed'>

```js
function euler227() {
  // Good luck!
  return true;
}

euler227();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>