Based on the previous rounds, there's a good chance my opponent might stick with rock again after our tie in round 2. Also, since I've already played scissors and rock, my opponent might expect me to complete a pattern by playing paper now, and potentially try to counter that. However, if they're expecting me to repeat scissors (which won for me in round 1), they might play rock to counter, which my paper would beat. This seems like the most strategic choice given the limited pattern information available so far.