Two players, \( P_1 \) and \( P_2 \), play a game against each other. In every round of the game, each player rolls a fair die once, where the six faces of the die have six distinct numbers. Let \( x \) and \( y \) denote the readings on the die rolled by \( P_1 \) and \( P_2 \), respectively. If \( x > y \), then \( P_1 \) scores \( 5 \) points and \( P_2 \) scores \( 0 \) point. If \( x = y \), then each player scores \( 2 \) points. If \( x < y \), then \( P_1 \) scores \( 0 \) point and \( P_2 \) scores \( 5 \) points. Let \( X_i \) and \( Y_i \) be the total scores of \( P_1 \) and \( P_2 \) respectively, after playing the \( i^{\text{th}} \) round.
The correct option is:
