Playing Dice
The Hong family are playing dice tonight. Dr. Hong serves as the judge. Leo, Angela, Elon, and Dr. Wang are the contestants. Each of them comes to Dr. Hong separately, rolls the dice, memorizes the number on its upper surface, and keeps the number secret to the other three. (Dr. Hong knows everyone’s number.) After all four of them roll the dice, they are trying to guess who gets the smallest or largest number based on the information during the conversation:
- Leo says: I don’t know if my number is the smallest or largest.
- Angela says: I don’t know if my number is the smallest or largest.
- Elon says: I don’t know if my number is the smallest or largest.
- Dr. Wang says: I don’t know if my number is the smallest or largest.
- Then Angela says: I have the largest number!
What’s Angela’s number?
(A dice is a cube with each of its six faces marked with a different number of dots (pips) from one to six.)