Consider the following premises. Barbara is cooking or Richard is playing tennis. If Richard plays tennis, then it is sunny. If Barbara cooks, then it is sunny. Can we infer the following from them? It is sunny or David is drinking water.
 From the fact that if Barbara cooks, then it is sunny, that if Richard plays tennis, then it is sunny, and that Barbara is cooking or Richard is playing tennis we can infer that it is sunny. Finally, from the fact that it is sunny we can infer that it is sunny or David is drinking water. Therefore, the answer is yes.