Consider the following premises. Barbara is writing a letter or Karen is curious. If Karen were curious, then Patricia is a writer. Barbara is not writing a letter or Patricia is playing tennis. Patricia is a writer or Patricia is not playing tennis. Can we infer the following from them? Patricia is not a writer.
 From the fact that Barbara is writing a letter or Karen is curious, and that Barbara is not writing a letter or Patricia is playing tennis we can infer that Karen is curious or Patricia is playing tennis. From the fact that Patricia is a writer or Patricia is not playing tennis we can infer that if Patricia plays tennis, then Patricia is a writer. Finally, from the fact that if Karen were curious, then Patricia is a writer, that if Patricia plays tennis, then Patricia is a writer, and that Karen is curious or Patricia is playing tennis we can infer that Patricia is a writer, which contradicts that Patricia is not a writer. Therefore, the answer is no.