Here is my solution (surely not unique). The two questions to ask are "Are you the lying coin flipper?" and "Are you the honest coin flipper?". These are answe

Here is my solution (surely not unique). The two questions to ask are "Are you the lying coin flipper?" and "Are you the honest coin flipper?". These are answered as (NO, YES, NO) and (NO, YES, YES), respectively, by the (honest, lying, coin flipper) goblins. In the best case we identify a non-flipper goblin on the first try (depending on which question we choose to ask) and then we can assign all three identities with just another question. In the worst case, we need to ask the same question to a second goblin in order to identify a non-flipper goblin, and then the other question to one of the two unidentified ones.