1.3 KiB
1.3 KiB
id | challengeType | title | forumTopicId |
---|---|---|---|
5900f44f1000cf542c50ff61 | 5 | Problem 227: The Chase | 301870 |
Description
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.
Instructions
Tests
tests:
- text: <code>euler227()</code> should return 3780.618622.
testString: assert.strictEqual(euler227(), 3780.618622);
Challenge Seed
function euler227() {
// Good luck!
return true;
}
euler227();
Solution
// solution required