Based on the pattern analysis, the opponent has played paper after I played rock in the most recent round. They might expect me to switch to scissors to counter their paper, which they could then counter with rock. By choosing paper, I can win if they play rock and tie if they stick with paper. Since I'm already ahead 4-2, even a tie in this final round secures my overall victory. This is a balanced strategic choice that accounts for the opponent's potential anticipation of my move.