Looking at our match history, I notice patterns in both our choices. My opponent has played rock twice, paper once, and scissors once. There appears to be a slight preference for rock, which just beat my scissors in the previous round. Players often repeat successful moves, so there's a reasonable chance my opponent will play rock again. Additionally, I've not played paper since round 3 (when I won), making it less predictable. While this is partly psychological reasoning and not guaranteed, choosing paper gives me a good chance to counter a potential rock play, which would help me catch up from my current 1-2 deficit.