Consider the following premises. Patricia is not a writer. If Linda plays a game, then Patricia is a writer. It is snowing. Can we infer the following from them? It is snowing and Linda is not playing a game.
 From the fact that if Linda plays a game, then Patricia is a writer, and that Patricia is not a writer we can infer that Linda is not playing a game. Finally, from the fact that it is snowing, and that Linda is not playing a game we can infer that it is snowing and Linda is not playing a game. Therefore, the answer is yes.