This article discusses results from interviews investigating students' understanding of probabilistic independence and mutual exclusivity. Three students compared several sets of events in various sample spaces. Data collected from these interviews gives evidence of a temporal conception wherein students think of independence as reliant on a chronological sequence of events and conditioning. With this approach, students may see some sample spaces (e.g. spinners) as having pair-wise independence for all events. In other sample spaces, (e.g. decks of cards) students see pairs of events as both independent and not independent, this being determined by whether replacement occurs. [For the complete proceedings, see ED585874.]