capturing monsters

Hello all rookie here. on exploration all I have seen are 0-2 star normals and in rare dungeons the 3 stars. I’ve caught 80% of the rare ones so far but my question is do u find better rarity every once in a while as like a rare chance in any map? like 3-4 stars?

Yeah don’t worry,in the last island you’ll find 3 dungeon,all of them will have a capturable epic monster (3/4 stars)

The last island also has 3 star monsters outside of the dungeons.

k TY