You’re right… it’s way better.
Let’s look at this this way… If you flip a coin one time, what’s the chance that you get heads… Well, there’s two possible outcomes… Heads (H) or Tails (T). So you have 50% chance.
Now let’s say you flip the coin twice, what’s the chance you get heads at least once? Well, there’s four possible outcomes. HH, HT, TH, TT. So there’s only one outcome where you don’t get heads. And there’s four total outcomes… So you have a 25% chance of not getting heads, and a 75% chance of getting at least one head.
Now let’s start working towards a formula. Let’s say you flip the same coin nine times. You have 2^9 possible outcomes. 2 outcomes per flip and 9 flips. That’s 512 possible outcomes. There’s only 1 outcome that doesn’t include a single head. The case where you get tails all 9 flips. The chance of that happening is 1/512 which is 0.195% chance. So the chance you get at least one heads is 1 - 0.195%. Approximately, 99.8%.
A general formula for this is:
Probability that you get heads at least once in N flips is: 1 - 1 / 2^n
So the moral of the story is the more you flip the coin, the greater your chance of getting heads at least once.
The same concept applies to this game (with different odds). But, the claim that the more you pull the greater your chances of getting the hero you want still holds. It’s never guaranteed you’ll get what you want, but the chances do increase with each pull.