Over enough observations, the odds of it never hitting becomes exponentially less likely.

At 300 ball pulls, the odds that not a single black ball is pulled is less than 5% At 500 ball pulls, the odds are less than 0.7% At 1000 ball pulls, the odds are 0.004%

And at every single one of those pulls, the nice person subsidized you with what is known as expected value. It might not have hit, but the fact that they were willing to take the hit if it did has se value to it.

You might not get in a car crash every day, might not even get in one in a decade. But having coverage to cover the damages from accidents had value in terms of car insurance