Yes, It is profitable to invest your money in mining rig but there are many aspects like do you have free electricity or what is the cost of it? What kind of coin you are going to mine.
Right now as we are seeing the price of bitcoin is going high you should keep your coin and enjoy the profit but if you want to earn more profit from it you can invest your 2 bitcoins in some other crpyto currency, just check the market and see which coin is about to going up and invest your coins in it, I am not asking you to put all of your coin but you can invest half of it.