MathDB

Six people play the following game: They have a cube, initially white. One by one, the players mark an

X

on a white face of the cube, and roll it like a die. The winner is the first person to roll an

X

(for example, player 1 wins with probability

\frac {1}{6}

, while if none of players 1-5 win, player 6 will place an

X

on the last square and win for sure). What is the probability that the sixth player wins?

Problem Statement