“There would seem to be something... uh... supernatural about all this...”
...and that’s how people that don’t understand the relatively simple math of probabilities account for this.
On the contrary, it’s because the math is so simple and so stark, that there seems to be something supernatural about it. Left to the laws of probability and statistics alone, this would seem to be impossible.
It’s like the old line about the room full of monkeys and typewriters eventually creating the works of Shakespeare; according to the laws of probability and statistics, it’d happen eventually. But, as a matter of fact, it’d never occur.