Consider the following premises. Richard is a janitor if and only if Linda is playing a game. Linda is not making tea. If Richard were a janitor, then it is raining. If it rains, then Richard is a janitor. Linda is making tea if and only if it is raining. Can we infer the following from them? Linda is playing a game.
 From the fact that if Richard were a janitor, then it is raining, and that if it rains, then Richard is a janitor we can infer that Richard is a janitor if and only if it is raining. From the fact that Linda is making tea if and only if it is raining, and that Linda is not making tea we can infer that it is not raining. From the fact that Richard is a janitor if and only if it is raining, and that it is not raining we can infer that Richard is not a janitor. Finally, from the fact that Richard is a janitor if and only if Linda is playing a game, and that Richard is not a janitor we can infer that Linda is not playing a game, which contradicts that Linda is playing a game. Therefore, the answer is no.