Puzzle: Last Person Standing |

In a dice game, a player points a finger at another player or into the air, then rolls a 6-sided die.
If the roll is low enough, the person pointed at is eliminated. Player C needs 5 or lower.
Player B needs 4 or lower. Player A needs 2 or lower. Sequence of play is A B C A B C ...
skipping over eliminated players, until only one person is left -- the winner.
What is the best strategy for A, and what is the chance that A will win?