Consider the following premises. It is overcast if and only if Barbara is playing a game. It is raining or it is windy. It is not raining. It is not overcast. Can we infer the following from them? Barbara is not playing a game and it is windy.
 From the fact that it is overcast if and only if Barbara is playing a game we can infer that if Barbara plays a game, then it is overcast. From the fact that if Barbara plays a game, then it is overcast, and that it is not overcast we can infer that Barbara is not playing a game. From the fact that it is raining or it is windy, and that it is not raining we can infer that it is windy. Finally, from the fact that Barbara is not playing a game, and that it is windy we can infer that Barbara is not playing a game and it is windy. Therefore, the answer is yes.