Client not detecting an object has been added into a module script?

I'm using a module script as a table to access from anywhere, and this script adds a player into the module:

local participants = require(game.Workspace.Race.Participants)
game.ReplicatedStorage.Race.Race.OnServerEvent:Connect(function(player)
	table.insert(participants,#participants+1,player)
	print("ok "..#participants)
end)

And it prints "ok 1". Now for the local script:

local participants = require(game.Workspace.Race.Participants)
local CountDown = 10
print("ok")
while wait(1) do
	print("running")
	print(#participants)
	if #participants == 1 then
		print("Active")
		script.Parent.Text = CountDown
		CountDown = CountDown - 1
	end
end

It will print "ok" and "running", but after I insert the player into the table, the line "print(#participants)" will print 0, even tough it should print 1.

When storing objects for later use it is always nice to use tables as it isn't creating tons of objects. You have a very great reason for using tables. You just don't know how.

I recommend using RemoteFunctions. Whenever the client needs to get all the participants it will run RemoteFunction:InvokeServer(). Once this is ran on the server you would have a function something like this:

RemoteFunction.OnServerInvoke = function()
	return participants
end

Of course it will require variable editing and positioning to fit your needs. This is probably the best way to do it, I hope it helps!