How would I detect if a player has died?

I need to figure out if a player dies during a round so I can exclude them from a winners roster - what would the best way to go about this be? Yes, I know about Humanoid.Died, but as far as I'm aware that only detects if a player just died. I assume I would need to fire a function using Humanoid.Died and add/remove a player to a table when that happens.

Humanoid.Died doesn't actually pass anything so in order to reference the player you'll need to do something like this:

    game:GetService('Players').PlayerAdded:Connect(function(player)
    	player.CharacterAdded:Connect(function(character)
    		character:WaitForChild("Humanoid").Died:Connect(function()
    			print(player.Name .. " has died!")
    		end)
    	end)
    end)

If that doesn't work for you, you can also used Player.CharacterRemoving but this event doesn't fire the instant the player dies and actually fires when all the player's bits disappear

    player.CharacterRemoving:Connect(function(character)
	-- if you can't just use the player variable outside this function then you need to get it from the character
	local player = Players.GetPlayerFromCharacter(character)

	print(player.Name .. " has died!")
    end)

Here's an edit to also be able to disconnect the function

local characterRemovingEvents = {} 
function Start()
    local characterRemovingEvent = player.CharacterRemoving:Connect(function(character)
	-- if you can't just use the player variable outside this function then you need to get it from the character
	local player = Players.GetPlayerFromCharacter(character)

	print(player.Name .. " has died!")
        characterRemovingEvents[player]:Disconnect() -- if you want to disconnect when the player dies
        characterRemovingEvents[player] = nil -- clean up
    end)
    
    characterRemovingEvents[player] = characterRemovingEvent
end

function Stop()
    -- we will now remove the rest of the connections
    for _, connection in pairs(characterRemovingEvents) do
        connection:Disconnect()
    end
    characterRemovingEvents = {} -- clean up
end

Maybe check if player's health has come down to 0

game:GetService('Players').PlayerAdded:Connect(function(player)
	 player.CharacterAdded:Connect(function(character)
	        if character:WaitForChild("Humanoid").Health = 0 then
		print(player.Name .. " has died!")
		end
	           
	 end)
end)

But I do not know if this is best choice or not.