Why isn't the game recognizing if the player is alive or not?

So I am making a sort of race script wherein a player touches a start brick to start a timer for himself and then once he reaches the end brick. I got it to work, but then I decided to improve upon it by making the player unable to start unless they are alive and if they die during the race, their race ends.

When I test it, everything works fine until after the player dies and the script seems to break. It seems to think that the player is still dead when it reaches the if statements in the endRace function despite me verifying with print statements that the player is, in fact, alive. Whenever I reach the end brick after dying and starting the race again, if gives me the message in the output "[player name] has died!" (you can find where this is in the endRace function).

As a side note, I realize that instead of using the alive variable and the two functions alive alive() and died() to check if they are alive, I can check the humanoid's health, but the exact same result occurs. This is method is simply my latest iteration in trying to somehow fix this problem. Furthermore, for the sake of saving space, I will simply tell you instead, helpful answer-er, that the start and finish bricks are the ones containing the code that fire the remote events for the startRace and endRace functions, and that they work fine. My problems are contained within this block of code.

If anyone could help me with this problem of the game not recognizing that the player is alive I would greatly appreciate it!

local player = game.Players.LocalPlayer
local startEvent = game.ReplicatedStorage.StartRace
local endEvent = game.ReplicatedStorage.EndRace
local started = false
local raceTime = nil
local bestTime = nil
local character = player.CharacterAdded:Wait()
local humanoid = character:WaitForChild("Humanoid")
local alive = true

-- Start player timer
local function startRace()
	if not started and alive then
		print(player.Name.." is now racing")
		started = true
		startTime = tick()
	end		
end


-- End player timer
local function endRace()
	if started then
		if (alive) then
			print(player.Name.." has stopped racing")
			started = false
			local endTime = tick()
			
			-- Calculate and display time
			raceTime = endTime - startTime
			
			if bestTime then
				if raceTime<bestTime then
					bestTime = raceTime
				end
			else
				bestTime = raceTime	
			end
			player.PlayerGui.LastTimeGui.TimeLabel.Text = "Last time: "..raceTime
			player.PlayerGui.BestTimeGui.TimeLabel.Text = "Best time: "..bestTime
			
		elseif (not alive) then
			print(player.Name.." has died!")
			started = false
		end
	end	
end

local function died()
	alive = false
	print("the died function has run and alive is")
	print(alive)	
end

local function alive()
	alive = true
	print("the alive function has run and alive is ")
	print(alive)
end



-- Events
player.CharacterAdded:Connect(alive)
humanoid.Died:Connect(died)


startEvent.OnClientEvent:Connect(startRace)
endEvent.OnClientEvent:Connect(endRace)
humanoid.Died:Connect(endRace)

Well I don't know what monstrosity you have done there, But I see the title and I'm only gonna answer that, Here is what I wrote

local plr = game:GetService("Player").LocalPlayer
local IsAlive = true

if plr.Humanoid then
	if plr.Humanoid.Health == 0 then
		IsAlive = false
		print("THIS HUMAN HAS DIED CALL FOR HELP")
end
end

NOT TESTED but should work

EDIT if that dose not work use this

local IsAlive = true

game:GetService('Players').PlayerAdded:Connect(function(player)
    player.CharacterAdded:Connect(function(character)
        character:WaitForChild("Humanoid").Died:Connect(function()
            print("THIS HUMAN HAS DIED CALL FOR HELP")
\		IsAlive = false
        end)
    end)
end)