1.0 KiB
1.0 KiB
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f44f1000cf542c50ff61 | Problem 227: The Chase | 5 | 301870 | problem-227-the-chase |
--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.
--hints--
euler227()
should return 3780.618622.
assert.strictEqual(euler227(), 3780.618622);
--seed--
--seed-contents--
function euler227() {
return true;
}
euler227();
--solutions--
// solution required