Consider the following premises. Jennifer is not excited. Patricia is playing tennis if and only if James is working. James is working if and only if it is raining. It is raining if and only if Jennifer is excited. Can we infer the following from them? Patricia is not playing tennis.
 From the fact that it is raining if and only if Jennifer is excited, and that Jennifer is not excited we can infer that it is not raining. From the fact that James is working if and only if it is raining, and that it is not raining we can infer that James is not working. Finally, from the fact that Patricia is playing tennis if and only if James is working, and that James is not working we can infer that Patricia is not playing tennis. Therefore, the answer is yes.