Analyzing the previous rounds, I noticed that in ties our opponent often mirrored our move – round 1 was rock, round 2 paper, round 3 scissors, and round 5 scissors, so it’s plausible that for round 6 they might copy our last move (scissors). This suggests that rock, which beats scissors, is a safe bet. Additionally, rock only risks a tie if they also choose rock, and the chance of them unexpectedly choosing paper (which would beat rock) appears lower. Therefore, I choose rock for round 6.