The transition probabilities show that nearly 60% of the time the dialogue transitions from State 3 to State 0; this may indicate that after establishing what the student does or does not know in State 3, the tutoring switches to a less collaborative "teaching" mode represented by State 0.
as noted in (Midgley et al., 2006), in order to establish that two dialogue acts are truly related as an adjacency pair, it is important to determine whether the presence of the first member of the pair is associated with a significantly higher probability of the second member occurring.