Hats Puzzle
Since Andy doesn’t know the color of his hat, it means that the two boys in front of him are not both wearing blue hats. If they were, Andy would know his hat is red (since there are only 2 blue hats).
That leaves us with only three possible combinations for the front two boys:
| Ben | Clark |
|---|---|
| red | blue |
| blue | red |
| red | red |
If Clark were wearing a blue hat, Ben would see this and know that he himself is wearing a red hat.
Since Ben says he doesn’t know what color hat he is wearing, Clark must not be wearing a blue hat. Therefore, Clark is wearing a red hat.
More Puzzles
Courses
Fallacy Detectors Part 1
Develop the skills to tackle logical fallacies through a series of 10 science-fiction videos with activities. Recommended for ages 8 and up.
A Statistical Odyssey
Learn about common mistakes in data analysis with an interactive space adventure. Recommended for ages 12 and up.
Symbolic Logic for Teens Part 1
Learn how to make sense of complicated arguments with 14 video lessons and activities. Recommended for ages 13 and up.
Emotional Intelligence
Learn to recognize, understand, and manage your emotions. Designed by child psychologist Ronald Crouch, Ph.D. Recommended for ages 5 and up.
Worksheets
Symbolic Logic Worksheets
Worksheets covering the basics of symbolic logic for children ages 12 and up.
Elementary School Worksheets and Lesson Plans
These lesson plans and worksheets teach students in grades 2-5 about superstitions, different perspectives, facts and opinions, the false dilemma fallacy, and probability.
Middle School Worksheets and Lesson Plans
These lesson plans and worksheets teach students in grades 5-8 about false memories, confirmation bias, Occam's razor, the strawman fallacy, and pareidolia.
High School Worksheets and Lesson Plans
These lesson plans and worksheets teach students in grades 8-12 about critical thinking, the appeal to nature fallacy, correlation versus causation, the placebo effect, and weasel words.
Statistical Shenanigans Worksheets and Lesson Plans
These lesson plans and worksheets teach students in grades 9 and up the statistical principles they need to analyze data rationally.