This is a big one so read carefully.

You have a room with 24 players. For each player an enemy will spawn. For each enemy that is defeated, 8 randomly picked players will receive an item. So 8 items per enemy is given out.

What is the probability for a specific player of receiving at least 8 items? (8 or more)

I can calculate the probability for no items but not for "8 or more".

No items = (1-1/24*8)^24.