After analyzing the first two rounds, I notice my opponent chose rock in round 1 and scissors in round 2. There's a possibility they might repeat scissors after our tie in the previous round, as this is a common psychological pattern. If they're looking at patterns, they might also expect me to play paper again since it won for me in round 1. By choosing rock, I can win if they play scissors again, and I'll tie if they anticipate my pattern and choose rock themselves.