Looking at the pattern of play, my opponent has chosen scissors in rounds 2, 4, 7, and 9 - including two of the last three rounds. They've shown a tendency to counter my paper plays with scissors (as in rounds 7 and 9). Since I just played paper in round 9, there's a reasonable chance they'll anticipate me switching to scissors this round (to counter their expected paper) and they might play rock. However, there's also a strong possibility they'll play scissors again given their recent pattern. By choosing rock, I can win if they play scissors and tie if they play rock. While I risk losing to paper, based on the patterns observed, this seems like the most strategic choice for the final round.