This journal article gives examples of erroneous beliefs about probability. It specifically examines the belief that a random sample must be representative of the true population.

A cartoon to teach ideas of probability ad the Law of Large Numbers. Cartoon by John Landers (www.landers.co.uk) based on an idea from Dennis Pearl (The Ohio State University). Free to use in the classroom and on course web sites.

A cartoon to teach the idea that averages are less variable than individual values. The cartoon is free for use on course websites or in the classroom. Commercial uses must contact the copyright holder - British cartoonist John Landers (cartoons@landers.co.uk) who drew this cartoon based on an idea from Dennis Pearl.

A cartoon to teach about the law of large numbers and the expected value under the assumption that future events are unknown to the betting strategy. Cartoon by John Landers (www.landers.co.uk) based on an idea from Dennis Pearl (The Ohio State University). Free to use in the classroom and on course web sites.

For n = 50 to 400, in steps of size 5, this program computes and displays (1) the exact probability P(|A_n - p| >= epsilon), where A_n is the average outcome of n Bernoulli trials with probability p of success, and (2) the Chebyshev estimate p(1-p)/(n(epsilon^2)) for this probability. You can specify p and epsilon.