Is "So if there are 23 people in a room there's a 50% chance that one of them will share a birthday with me?" correct? If you pick a fixed person (you) that would break the pigeonhole principle, I think.
I would think that saying "So if there are 23 people in the room there is a 50% chance any 2 of those people share the same birthday" is better.
Edit: I misunderstood, you're saying that other people are misunderstanding. My mistake!
I would think that saying "So if there are 23 people in the room there is a 50% chance any 2 of those people share the same birthday" is better.
Edit: I misunderstood, you're saying that other people are misunderstanding. My mistake!