I think any gambling type is profitable. It all depends on how much money you bet and what are the odds. No matter which type of gambling that is, luck will still be the one that decide if you're going to have profits or not. Without luck, you'll always end up not having profits in any gambling type and just waste your time and money. But I guess becoming the house itself would be the most profitable way to gamble since you can design it in a manner that you will be the winner in the long run even some people hit the jackpot on your gambling site.
You are depending upon luck for making your gambling profitable than no gambling type will be profitable all the time for any gambler.
Profitability of a gambling should not be measured based on single day performance. It must be considered based on how consistently we are able to make profits with the particular type of gambling.
I guess there is no such a type of gambling is existing even with my sports betting I'm not consistent.