Picking 100 people and picking 2 people are entirely different things.

But either way I don't understand your argument.

If you're picking 100 people, they won't share any trait. But how is that relevant to this video clip?

If you're picking a random living room where people are playing steam games, there's a reasonable chance it looks like the video clip. Why not? The odds are low you get someone looking exactly like that, but you can say that same sentence no matter who gets picked. Don't fall victim to the lottery paradox.