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AMC8 2027 - Self-practice Set 3 Question 16

AMC8 · AMC8 2027 - Self-practice Set 3

Question 16

Hoàng and Đức have three hats: two white and one black. While blindfolded, each wears one hat, and someone secretly puts away the unused hat. They take turns opening their eyes, seeing the other person's hat, and trying to identify their own hat.
Hoàng opens his eyes first but cannot determine his own hat color. Đức then says, "I know the color of my hat without opening my eyes."
Both are excellent reasoners. What can be concluded?
  1. Hoàng's hat is white
  2. Hoàng's hat is black
  3. Đức's hat is white
  4. Đức's hat is black
  5. Not enough information