I also would say it depends on the odds and the risk taken in terms of how much used to stake on it. Like you said in sports games, so in lower odds game, the gambler goes on to place a higher stake on it if he feels the game will turn out to favour him And so if a game that doesn't have the winning advantage, the gambler doesn't risk much on it Therefore, it depends on some factors like the odds and how much stake placed on the bet.
There are so many factors to consider before choosing a game that'll give you the best chance to win big because you have to consider the factor of knowing how to play the game as not all games can be played by all individual. Some individual are good with dice games, others are good with slot games while other play just sport betting and they're very good in that area. This question depends on who you're asking because I'll always choose sport betting.
In sport betting you can use high stakes to win big when you you're sure your prediction are going to come out correct. You can also play multiple bets by betting on multiple games in the same sport or a different sports to increase your chances and if all your prediction comes out accurate, you win big.
The best chance of big win is football... this is in my opinion. There might be other games but football seems easier to predict. I have seens several people using double digits to win 6 figures from sports betting with football only. On the other hand, I have not seen that in other events.