Remove Player from Table, when he dies or disconnects?

To remove string from table, you need to use "table.remove" function. Here is an example

local Playerstable = {"Player1","Player2"}


function OnRemovePlayer(playerName, Table)
    for i = 1, #Playerstable do
        local CurPlayer = Playerstable[i] --get current player name from table
        if CurPlayer == playerName then -- checking if player name in table
            table.remove(Table, i) -- removing name from table
        end
    end
end

game.Players.PlayerRemoving:Connect(function(player) -- fires when player leave
    OnRemovePlayer(player.Name, Playerstable)
end)

game.Players.PlayerAdded:Connect(function(player)
    local char = player.Character or player.CharacterAdded:Wait() --get player's character
    if char ~= nil then
        char.Humanoid.Died:Connect(function() -- fires when player dies
            OnRemovePlayer(player.Name,Playerstable)
        end)
    end
end)

Instead of the other answer, I recommend making your code modular that can suit more than one situation. This is simply done with the function below

function removeFromTable (argTable, argValue)
    for index,value in pairs (argTable) do
        if value == argValue then
            table.remove(argTable, index)
            return argTable;
        end
    end
    return argTable;
end

That makes your code more modular and can be used in multiple situations instead of just one. Simply call it like so: removeFromTable(table, valueToRemove)

The solution to your question is simply the following:

local playersTable = {};

local Players = game:GetService("Players");

Players.PlayerAdded:Connect(function(newPlayer)

    table.insert(playersTable, newPlayer)

end)


Players.PlayerRemoving:Connect(function(player)

    playersTable = removeFromTable(playersTable, player);

end)

This will insert the player that joined into the table playersTable and remove them from it when they leave.