In my opinion, this illusion occurs because of the obsession in a gambler towards winning, it makes sense considering that when someone is obsessed with something, they will usually always think of various ways that they feel can influence the results, such as the scenario of throwing the dice more gently as you said, even though it is clear that in a type of luck-based game there is no way to control the results in the game, the point is that it is very simple to say that victory will only come or will only happen when luck comes even if you gamble blindly.
Agree with your opinion, the beginning of the illusion occurs in a gambler because it is caused by a very high sense of obsession with getting easy and fast wins so that the gambler's mind experiences instability in thinking or can be said as excessive action and gamblers who cannot control the sense of illusion will make many mistakes beyond the limit so that it will cause addiction in a gambler and this must always be considered for all gamblers as much as possible we must be able to control the sense of illusion well and properly if not done then it will be very dangerous for the gambler himself.
Besides that, the will of winning the games will be too bigger and whispering them to keep playing gambling. The illusion will becomes real when they can not control their minds and want to chase the winning from the games. They may break their limitation when their minds thinks that the illusion will comes after this round. They lose control over themselves and keep chasing the winning without think that they are risk more money to playing gambling and lose that money in the end of their gambling activity.
With those kind of voices into your mind then it will really be that something that would be pushing you out of your limits on which this is something not really that recommended specially when dealing up with gambling.
Those inner voices will really be that telling you to play even more and having those kind of thoughts that you will be able to recover your loses but eventually it will really be that making even more worst.
This is why its really that important at least you do really know on what you are currently doing. The main issue for most people is that on the moment that they are really that getting blinded with greed then
they do really forgot about being responsible or simply forgot on what are the things that they should really be that reacting into.
To those who had been those set limits before they do play but once that emotions do able to kick in then this is the moment that they will really be that gradually go far into those limits
and will really be tolerating out their greed that they are currently experiencing because if you arent that good when it comes to control then you will definitely fail
on sticking into those limits that you had put up earlier.