It can depend on what the agent "sees" and how many time-steps away the "consequences" are. If the ghosts are so far away that any action will take t time-steps before consequences to the agent, the actions are pseudo-random because there is no reward to optimize on.

The number of outcomes in branching_factor^t (very large) makes the action-values at t=0 (where the agent chooses between two/three actions) almost uniform random.