- sequence of games $\G{i}$ played with the adversary. In each, let $S_i$ be
- the event that the adversary returns~$1$ at the end of the game.
+ sequence of games $\G{i}$ played with the adversary. In each game $\G{i}$,
+ let $S_i$ be the event that the adversary returns~$1$ at the end of the
+ game.