Analyzing the pattern so far, my opponent has chosen rock twice and paper once. There seems to be a tendency toward rock. Additionally, we've had two ties in a row, which might suggest they're trying to break the pattern. If they expect me to choose rock again (continuing my last move) or scissors (to try something new), they might go with paper. In this case, choosing paper would either result in a tie (if they choose paper) or a win for me (if they choose rock). Given the higher probability of them choosing rock based on historical choices, paper seems like the most strategic choice.