Consider the following premises. Sarah is fast if and only if Jessica is playing a game. Karen is not a mechanic. Karen is a mechanic or Sarah is fast. Can we infer the following from them? Jessica is playing a game.
 From the fact that Karen is a mechanic or Sarah is fast, and that Karen is not a mechanic we can infer that Sarah is fast. From the fact that Sarah is fast if and only if Jessica is playing a game we can infer that if Sarah were fast, then Jessica is playing a game. Finally, from the fact that if Sarah were fast, then Jessica is playing a game, and that Sarah is fast we can infer that Jessica is playing a game. Therefore, the answer is yes.