Consider the following premises. If it is overcast, then Patricia is sleeping. Patricia is not sleeping. Can we infer the following from them? It is not overcast or it is snowing.
 From the fact that if it is overcast, then Patricia is sleeping, and that Patricia is not sleeping we can infer that it is not overcast. Finally, from the fact that it is not overcast we can infer that it is not overcast or it is snowing. Therefore, the answer is yes.