Consider the following premises. Thomas is listening to a song if and only if Jessica is drinking water. Patricia is not playing a game. Patricia is playing a game if and only if Thomas is listening to a song. Can we infer the following from them? Jessica is not drinking water.
 From the fact that Patricia is playing a game if and only if Thomas is listening to a song we can infer that if Thomas listens to a song, then Patricia is playing a game. From the fact that if Thomas listens to a song, then Patricia is playing a game, and that Patricia is not playing a game we can infer that Thomas is not listening to a song. Finally, from the fact that Thomas is listening to a song if and only if Jessica is drinking water, and that Thomas is not listening to a song we can infer that Jessica is not drinking water. Therefore, the answer is yes.