Looking at the pattern, my opponent has chosen scissors in 5 out of 9 rounds, including all 3 times when I chose paper. However, they've recently shown more variety, choosing scissors in round 9 when I played rock. For the final round, I'm choosing paper because I suspect they might switch to rock thinking I'd avoid paper (since it lost me 3 rounds). If they continue with scissors, I'll lose, but if they switch to rock as I predict, I'll win this crucial final round. Given their pattern of alternating between rock and scissors, and never choosing paper so far, this seems like my best strategic option.