Suppose I invite you to bet with me on the outcome of some large set of random trials. I'm a bit of a jerk though, so I'm offering you terms that are a tad unfair. I'm going to make a prediction about the number of trials that turn out a certain way, and if I'm right, you'll owe me $120, while I'll only owe you $100 if I'm wrong.
If I told you that the set of random trials would be 6 million rolls of a fair die, with my bet being that the number of 6's that will be observed will be greater than 3 million, you'd be a fool to turn down the bet. Sure, there's more in it for me if I win than there is for you, but you don't need to be a statistician to know that the odds are overwhelmingly in your favor here.
If, on the other hand, I told you that my prediction is that the number of 6's observed will be more than 1 million, you'd be well-advised to decline my bet. If I offered you fair terms, that might be another story, but there's too much uncertainty here for the terms I've offered to be attractive.
The two scenarios I described clearly differ in that respect. But let's look at this from another angle. What are the odds that the very last roll of the die would have made the difference between my prediction being correct or not in the two cases? Without going into too much technical detail, the answer is that it would be a teeny tiny bit higher in the latter case, but scarcely different from zero in either case. We're talking 6 million random trials, after all.
What's the point of this?