Final answer:
Two operations conflict if at least one is a dependent operation, meaning the outcome or execution of one affects the other, as opposed to independent operations that do not influence each other.
Step-by-step explanation:
Two operations in a schedule are said to conflict if they satisfy all three of the following conditions: the first condition may deal with timing, the second with resource usage, and the third condition states that at least one of the operations is a dependent operation. In conversation with the concepts of independent and mutually exclusive events, two events (or operations, in the context of scheduling) are considered independent if the occurrence of one does not affect the probability of the occurrence of the other.
Contrastingly, a dependent operation suggests that the execution of one operation has implications for the execution of another, such as requiring the other to wait until the first one has finished, or altering the environment in a way that affects the other operation.