3. Three people, A, B, and C, play the "Rock, Paper, Scissors" game at the same time. The game rules are: Rock beats Scissors, Scissors beats Paper, and Paper beats Rock. The probability that A wins (ties are not counted) is $\qquad$
3. $\frac{1}{9}$.

A, B, and C each have 3 possible moves, so there are a total of $3 \times 3 \times 3=27$ possible outcomes. A wins (ties not considered) in only 3 scenarios: A throws rock, B and C throw scissors; A throws scissors, B and C throw paper; A throws paper, B and C throw rock. Therefore, the probability of A winning is $\frac{1}{9}$.