Basic Fantasy Encounters

Check about every 4 hours.
Must get a 1 on a d6

Wilderness Encounters

Encounter type: Empty Lair

Forest: Antelope
Hills & Mountains: Mountain Lion
Grasslands: Scorpion, Giant
Jungle: Antelope
Desert or Barren: Scorpion, Giant
Swamp: Leech, Giant

River or Riverside: Fish, Giant Piranha
Ocean: Shark, Bull

Inhabited Territories: Centaur

City, Town, or Village Encounters

Day Encounter: Merchant
Night Encounter: Merchant

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For Wilderness encounters:
Check about every four hours of game time (this translates nicely to three night checks and three daytime checks)

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Note: All monster stat images are from the Basic Fantasy RPG (3rd ed.), available at basicfantasy.org

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