P(you’re 50th | 1000 people) = 1/1000
P(you’re 50th | 1000000 people) = 1/1000000
So the 1000 people world has more of its probability mass on the fact that you’re the 50th person.
P(you’re 50th | 1000 people) = 1/1000
P(you’re 50th | 1000000 people) = 1/1000000
So the 1000 people world has more of its probability mass on the fact that you’re the 50th person.