My perspective is a little different than yours. Although we know that luck doesn't involve skills and all the bets are independent of each other.
But we must also acknowledge that with every losing bet the probability of the next bet to be a winning bet increases.
That's what I think.
You are contradicting yourself here. You agree with the fact that all bets are independent of each other, but you are also saying that all bets are dependent on each other due to rise in win probability with each subsequent bet.
This is one of the primary reasons why so many gamblers chase losses using Martingale etc since they think that the chances of recovering their losses rises with each subsequent bet.
I guess you are right. But what are your thoughts about Martingale ?
We double the amount with every subsequent bet in the hope that we will win the next bet.
The longest losing sequence that I have seen is around 23 bets.
That one is very long, you need a huge amount of money as a bankroll to absorb that loss, martingale is very attractive to use but its application will lead you to lose your bankroll it's ok to use martingale but you should manually change your setting from time to time, rollover to roll under and so on, and it's better to bet manually when using martingale.
I recommend using the martingale strategy for a short time, that is, if you apply it once and it gives you a profit, then it is best to leave it there, because if you insist more it is likely that the losses will be more frequent and if you do not It has a good balance, you can go all out and be left with nothing, I say this from my own experience, not only here on this platform but on all of them, the results of the martingale are always a very dangerous strategy.
It is good to vary it with different strategies, perhaps betting very little and then making other bets with more balance and returning to a bet of little money, this to take advantage of the sense of randomness and give more chance to our luck to come out on the surface , I have seen many players whose strategy is always to make bets with different amounts and try not to lose control, which is why it is so necessary to have control of the money willing to lose, so there are no major consequences.