I remember reading this in Parade Magazine when Marilyn Vos Savant published her column. And then was completely blown away by the landslide of scathing letters written by adult professors at colleges belittling her for being so dumb. And they were wrong. Truly amazing demonstration of how bias (and the limbic system) work against rational thought.

Here is a link with some hilarious quotes from livid professors saying dumb shit:

https://priceonomics.com/the-time-everyone-corrected-the-wor...

This letter explains why we are in trouble:

    You made a mistake, but look at the positive side. 
    If all those Ph.D.’s were wrong, the country would 
    be in some very serious trouble.

    Everett Harman, Ph.D.
    U.S. Army Research Institute

yeas, I wrote this code at least 10 years ago because I didn't believed statistics. I had to see for my self. It was a great exercise for both areas, code and probability.