Everything is luck man, no math no shit 
Most of them depends upon your luck and only lucky people get those jackpot. Few games do exists where you require a good experience and skills to win those gambling else like roulette, computer slot machines etc are the luck based games.
The house is also doing mathematics, I've even heard some people who got banned in casino by doing the card counting so they won't let a strategy go on the loose and take all their money. That club is always unfair to the players.
I highly doubt it. Perhaps maths could help in calculating and understanding the different permutations and odds of winning but ultimately wining in gambling is mostly dependent on luck. Even the most strategic minded gamblers still cant always win against the house despite their strategy. If this was to be the case, many would have made massive wins in casinos based on their knowledge or expertise in maths.
Maths can help and there is no denying that, but there is no person that can play and solve for all those possibilities, well, except for card counting which you need some serious skills there too. But it's true that if the casino will be beaten by just this then there won't be any casinos anymore. Like banks it is regulated and they are implying rules to change the game.