I use the rules on the battlemat/in line of sight, but enemies that have fled out of sight are out of combat, chasing them down typically requires Athletics checks or equivalent. I ran games with goblins Saturday & Sunday, with a goblin successfully fleeing both times (easy w bonus Disengage action). In the first case the PCs chased the goblin right into a nest of other goblins and nearly got TPK'd, I had to be very kind to let them escape.
They may have learned the unwisdom of extended chasing through dungeons after that.
In the second game the (different) players were smart enough to break off pursuit rather than have that happen to them.
I roll all dice in the open of course so players can see the to-hit bonus. I normally tell them the enemy AC when they attack. Information is key to letting players make good choices.
I too tell players when a monster is 'bloodied' at half hp.

In the second game the (different) players were smart enough to break off pursuit rather than have that happen to them.
I roll all dice in the open of course so players can see the to-hit bonus. I normally tell them the enemy AC when they attack. Information is key to letting players make good choices.
I too tell players when a monster is 'bloodied' at half hp.
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