Seeing Theory: A Visual Introduction to Probability and Statistics
"Don't trust your intuition". This should be the basis for all teaching in statistics and probability. If all goes wrong, it should be the one thing everyone remembers from their statistics education. 
And yet year after year, everyone is starting with E(X)=sum(x*P(x)) and has no idea what it was about afterwards.<p>With calculus and linear algebra your gut feel is about right no average. You can quickly get a feel for trajectories, acceleration and distances (derivatives and integrals), areas, volumes, amounts, etc. But on probability your gut-feel will always fool you.<p>In the end, you see a handful of math bloggers bemoaning the lack of education in probability and the nonsense being discussed by journalists and politicians. And it hardly matters whether it's an election or a pandemic. The lack of understanding of uncertainty and the false belief that one can reason about these without looking at the numbers too closely is dangerous.<p>Sorry about the rant. But...<p>Dear creator of seeing-theory.brown.edu,
if there is one thing you could change about the project to make it different and infinitely more useful: Please  start the first chapter with the goat problem[1], then go through a couple of examples from chapter 10 in Thinking Fast and Slow[2], the discuss information (maybe with a simplified version of Mendel's pea experiment[3]), discuss distributions and leave expectations and variances for much-much later.<p>[1]: <a href="https://en.wikipedia.org/wiki/Monty_Hall_problem" rel="nofollow">https://en.wikipedia.org/wiki/Monty_Hall_problem</a>
[2]: <a href="https://en.wikipedia.org/wiki/Thinking,_Fast_and_Slow" rel="nofollow">https://en.wikipedia.org/wiki/Thinking,_Fast_and_Slow</a>
[3]: <a href="https://www.sciencelearn.org.nz/resources/1999-mendel-s-experiments" rel="nofollow">https://www.sciencelearn.org.nz/resources/1999-mendel-s-expe...</a>