In one study on preferences, researchers formed different displays of grills by rearranging the position (left, center and right) of 3 different grills (A, B, and C), and asked participants to rank the displays from favorite to least favorite.
If, prior to the experiment, all displays were expected to have equivalent levels of preference, what is the probability that a given participant would rank as the favorite a display that had grill A on the left and grill B on the right?