Consider the following premises. If it is late, then Patricia is reading a book. If Patricia reads a book, then it is snowing. If Charles listens to a song, then Patricia is reading a book. Charles is listening to a song or it is late. Can we infer the following from them? It is snowing.
 From the fact that if Charles listens to a song, then Patricia is reading a book, that if it is late, then Patricia is reading a book, and that Charles is listening to a song or it is late we can infer that Patricia is reading a book. Finally, from the fact that if Patricia reads a book, then it is snowing, and that Patricia is reading a book we can infer that it is snowing. Therefore, the answer is yes.