<s>[INST] Victor and Alice are playing a game that involves a fair six-sided dice. For each player's turn, they roll the dice and must do the action associated with the number on the top face of the dice. For example, if the dice shows a 1, the player must do action A. If the dice shows a 2, the player must do action B. If the dice shows a 3, the player must do action C, and so on. There are six possible actions for the dice, and the game continues until one player has completed all six actions. Assume that Victor rolls first. 

# Problem
What is the probability that Victor will complete all six actions before Alice, assuming that Victor and Alice roll the dice alternately and that the game does not end until one player completes all six actions?[/INST]