Apparently another reason for betting limits is to thwart people trying to use the Martingale betting strategy.Dana White getting banned demonstrates both the requirement of both winning more often then losing and the dollar amount - Millions in his case.
That is why casinos will 'limit' a whale player to $5K a hand instead of out right banning them.
We know about Dana White because of his social presence. It does make for entertaining videos to watch about him.
The strategy is if you win your first hand, you keep the money. If you lose the next hand, you double your bet the hand after that to get back your loss. You keep doubling until you get back to even on that first loss of $5.
If you were allowed to keep doubling infinitely it would be a guaranteed winning system. However, a betting limit stops that infinite progression.
Say your first bet is $5, and you lose.
Say you continue the doubling and keep losing.
Say the betting limit is $5,000, which it is in the $5 minimum Blackjack game at BetRiver.
Bet 1 = 5
Bet 2 = 10
Bet 3 = 20
Bet 4 = 40
Bet 5= 80
Bet 6 = 160
Bet 7 = 320
Bet 8 = 640
Bet 9 - 1,280
Bet 10 = 2,560
Bet 11 = 5,120 But you can't bet that cuz the max is $5,000.
Blackjack can be a streaky game, and so can roulette. Don't forget the progressive losses are cumulative. So worst case you can lose much more than $5,000 trying to get back the original $5 plus your consecutive losses.
Btw the longest streak of consecutive reds in roulette was 32 times in a row in an American casino. Happened in 1943.