The amount of money you start with does not matter,as long as you have a good bankroll management and you know your limits. Obviously a rich person can afford to play higher stakes, take more risks, and win more money but at the same time he has much more to lose on the long term because he's got so much money. A poor gambler can only lose the amount of money he has, which is little and even if he ends up losing everything it won't affect him that much. If a rich person ends up losing everything to gambling, that would be a disaster for them and their life. Therefore, both rich and poor gamblers should be careful to gamble and risk only the money they can afford to lose.
You are right as poor people can invest a lower amount the chance of winning is low and obviously the winning will be low as usual. But as the rich people can invest more the chance of winning is also more and at the same time the loss amount also be more than a poor people.
But from the application that occurs sometimes we also see a lot of poor people even risking all the money they have even though it is relatively low when compared to those who are rich but still it is still very large for those who are poor because it risks all their money quite boldly.
In fact, there are not a few poor people who do that so when talking about the actual risk it is actually greater for those who are poor than rich.
Because for the rich those who do lose money in a slightly larger amount they must know that they still have a remainder that cannot be calculated when losing a large amount in gambling but it will be different if it is a poor person so in this case it is actually important to look from another aspect not only depending on the amount of bets shown but in terms of risk management that is owned.