westprog actually has somewhat of a point, though his number's a bit of a poor example, because, frankly... only 1 out of 1 billion? There are 6 billion people on the planet, who will live about 70 years on average... that's going to happen by chance.
"Significant to us" counts, though, in this case. But it counts not merely because it's significant to us, but rather, because there are a lot of "us"'s around. (And the 1,2,3,4,5,6 doesn't have to be a terrible fraud--it would make a pretty damned cool prank).
The "us"'s that are around, are prone to things like fraud, or pranks. We know they are around, so we can formulate hypotheses about being defrauded or pranked. In doing so, we're going to be wrong on occasion--especially in this example, it's virtually certain we will be wrong. But we'll be right more often.
But the same thing applies everywhere. If we find a Rolex on Mars, what is our first hypothesis? God? No. Aliens? No. Humans... because it's much, much more likely that a human would have left a Rolex on Mars. Mind you, finding a Rolex on Mars, in itself, is an extremely unlikely thing, but, well, those humans are around, and they even make Rolex's.
Rare things do, in fact, happen. But they only suggest hypotheses that are demonstrably viable--even rare hypotheses can be on the table, but you go from most viable to least. The ones where you can account for everything, to the ones where you cannot. Parsimony before fantasy.