Consider rolling a fair 6-sided die twice. Let \(A\) be the event that the first roll is less than or equal to 3. Let \(B\) be the event that the second roll is less than or equal to 3. Find an event \(C\) in the same outcome space as \(A\)  and \(B\) with \(0<\mathbb{P}(C)<1\) and  such that \(A\), \(B\) and \(C\) are mutually independent, or show that no such event exists.