If there have a dice game. What is the probability that a player will win the game?

Question

1. Consider 2 person play (player A and B) the dice game. Both of them has 3 six-sided dices.
2. They roll it together. If the die lands 1, take it out, if the die land 6, give it to others. Exm
3. In one round, who left the least dice, who will win the game
4. Then what is the probability that player A will win the game? (If both of them left the same amount of dice, then is tie)