Scenario 1: Vampire Lord's ability triggers before it leaves the battlefield.
* Example: If your opponent controls Vampire Lord and you cast a spell like Doom Blade which destroys a creature, Vampire Lord's ability will trigger before it leaves the battlefield, allowing its controller to draw a card.
Scenario 2: Vampire Lord's ability triggers after it leaves the battlefield.
* Example: If your opponent controls Vampire Lord and you cast a spell like Return to Dust which exiles a creature, Vampire Lord's ability will trigger after it leaves the battlefield, meaning its controller will not draw a card.
Key Takeaway: The timing of an ability's trigger is crucial. If it triggers *before* the permanent leaves the battlefield, it will resolve even if the permanent is destroyed. If it triggers *after* the permanent leaves the battlefield, it will not resolve.
Important Note: This is a general explanation. It's always best to refer to the specific card text for each card to ensure you understand how it works.