Gold and Silver Puzzle
At first, there was a 1/2 chance of picking from either bag. But when you picked out a gold coin, you got more information about which bag you probably picked from. Since 2 of the 3 gold coins are in the bag with 2 gold coins, there’s a 2/3 chance you picked from the bag with 2 gold coins! (Note: If you had picked the silver coin, you know there is a 100% chance you had picked from the bag with one of each.) Therefore, there's a 2/3 chance that the other coin in that bag is also gold.
More Puzzles
Courses
Fallacy Detectors
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.
Logic for Teens
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
Logical Fallacies Worksheets and Lesson Plans
Teach your grades 3-7 students about ten common logical fallacies with these engaging and easy-to-use lesson plans and 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.