Conclusion: if you find an opportunity to make an arbitrage bet, then you can bet only on one of the outcomes and on average you will still be in the black plus avoid problems with ToS of bookmakers.
This would be one solution to avoid being flagged as an arbitrage gambler, but you are still taking risks here. If the outcome you bet on didn't come then you lost your money.
Individual losses or wins are not important. Only the average is important. In this example (and in any other case of arbitrage bets), the average outcome will be profitable.
I presume you mean sports betting, right?
There's no way they will know that you are doing arbitrage betting if you are doing it on two different sites.
Arbitrage betting in the first place is not illegal, so why would the bookmakers or sportsbooks care about that?
It's an opportunity, but a rare opportunity as it's not easy to find it and I find it very difficult that's why I didn't pursue that kind of betting.
Also, most sportsbooks (crypto sportsbooks) promote anonymous betting, so how would they know that you are the same person who bet on the other site?
Yes, I'm talking about sports betting.
I do not have all the information to prove that by arbitrage betting on different sites you will attract attention, and you cannot prove otherwise. Therefore, it is worth thinking about different options. It seems to me that bookmakers are not stupid and effectively resist those who are trying to make guaranteed money.
As for the difficulty of finding such bets, I heard that there are aggregator sites that provide such information. In addition, if you bet live, then you will have much greater opportunities to find an arbitrage bet.
Yes, crypto betting shifts the advantage towards the player. But in any case, the struggle between bookmakers and bettors is not the main topic of my thread. I wanted to show a mathematical paradox.
The formula for arbitrage plays in sports gambling looks like this IMO.
To cite an example, consider the last UFC event:
https://en.wikipedia.org/wiki/UFC_272Let's say you were fairly certain Jalin Turner (1.67) and Kevin Holland (1.26) would win their fights.
But didn't have an idea of who would win the fight between Ludovit Klein (2.33) and Devonte Smith (1.70).
Make 2 parlays-skip-
This is a completely wrong example of arbitrage. No matter how "confident" you are in the outcome of the battle, it may end differently. The meaning of arbitration is in guarantees. Your premonition and analytics do not guarantee anything.
If you're sure about Jalin Turner (1.67) and Kevin Holland (1.26), just bet on them and take the easy money, right?