Whose Number is Bigger?
Ali and Zoe reach into a bag that they know contains nine lottery
balls numbered 1-9. They each take one ball out to keep and they look
at it secretly. Then, they make the following statements, in order:
Ali: "I don't know whose number is bigger."
Zoe: "I don't know whose number is bigger either."
Ali: "I still don't know whose number is bigger."
Zoe: "Now I know that my number is bigger!"
Assuming Ali and Zoe are perfectly logical, what is Zoe's smallest possible number?
'This' is that smallest possible number!
Ali: "I don't know whose number is bigger."
Zoe: "I don't know whose number is bigger either."
Ali: "I still don't know whose number is bigger."
Zoe: "Now I know that my number is bigger!"
Assuming Ali and Zoe are perfectly logical, what is Zoe's smallest possible number?
'This' is that smallest possible number!