Looking at the pattern, my opponent chose rock in round 1, then switched to paper in round 2 (possibly adapting to my paper choice). Since they just played paper, there's a reasonable chance they might stick with paper again, expecting me to choose rock. Alternatively, they might anticipate that I'll switch to scissors and thus play rock. Since we need to break the tie and there's some psychological momentum in Rock Paper Scissors where players don't immediately switch to the option that was just beaten, I'll choose scissors to counter their possible paper play.