data/problems/227.yml
---
:id: 227
:name: The Chase
:url: https://projecteuler.net/problem=227
:content: "\"_The Chase_\" is a game played with two dice and an even number of players.\n\nThe
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. \nIf 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. \nThe game ends when one player has both dice after they have been rolled
and passed; that player has then lost.\n\nIn a game with 100 players, what is the
expected number of turns the game lasts?\n\nGive your answer rounded to ten significant
digits.\n\n"