I believed the most profitable game for me is the one where you will not lose as always.

Cause all gambling games are profitable especially if you bet a large amount and win.
But all those games will not give you a good results, and most of the time, It will make you lose more than winning.

So to be safe play the games that you can control the run of it, Like poker, Poker uses skills and strategy, and the game results will be based on your skills in playing with it.