>>8759816 (pb)
Take the following two examples that are not equivalent:
CASE 1: Chance two people that walk by each other in NY times square every day, assuming they both walk in times square for 8 hours every day.
CASE 2: Chance two people that walk by each other in NY times square wearing the same t-shirt, assuming they change their t-shirt roughly every minute, and they each select from their own t-shirt pile of 10000 t-shirts.
Your analysis is CASE 1
Appropriate analysis is CASE 2
have a nice day.