Two players, P 1 and P 2 , play a game against each other. In every round of the game, each player rolls a…

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 $i^{\mathrm{th}}$ round.

The correct option is: