Reimian Empire

Am I understanding correctly that, for me personally, each individual reading is somehow connected to the previous ones, and therefore the probability increases with each new reading? Or is it something else?

In general, yes, in this case, as long as you don't die. Without getting into complex terminology, it's best to imagine it with a coin. Ideally, you should alternate between getting heads and tails, but in reality, each time you make the same (important word) throws, the probability of them repeating will decrease and decrease, while the opposite will increase. Or imagine some game with loot drops; sooner or later, you'll get your legendary item. People even create entire programs that predict approximately how many times you'll have to try before it happens. Many games even add special scripts that adjust the probability in one direction or another, "helping" or, conversely, "hindering" you from getting what you want. For example, in Hearthstone, the probability of drawing a legendary card is about 1%, but for convenience, Blizzard makes sure to give it to you in the 40th pack if you haven't been lucky enough to get it before. And in free mobile games, there is often a reverse system that prevents you from getting what you need until you spend money.
Ment and Uran are quite rightly (I'm not arguing) telling you about the independence of events and conditional probabilities, but for the sake of simplicity, we can ignore that. How many people would stop donating in games if they were explained about the unchanging probability and that because of one incorrect statement, all their dreams are shattered. In reality, ordinary people ignore this, and they are right to do so.

Conditional probability is the probability of an event occurring given that another event has already occurred.

The whole catch is just in the point of reference, which we somehow change when we say "read the book 999999 times and not die, but then on the millionth...", whereas in reality, we still mean "read the book a million times and die."
In general, you're right, so

It's a stupid book.

Great ideas, guys. Much more interesting than burning old women's houses and blowing up cities.

Ah, but I already miss the old women.