Looking at the pattern so far, I notice my opponent has chosen rock 3 times, paper 3 times, and scissors 2 times. After losing to my scissors in round 8 when they played paper, they might expect me to play scissors again and choose rock to counter it. Additionally, they've shown a tendency to play rock after losing (like in rounds 1-2). By choosing paper, I can counter their potential rock play. I'm already leading 5-0, so securing one more win would mathematically guarantee my victory in this 10-round game.