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 61, 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? geometry3D geometryprobability