For the most part they can't even effectively teach basic algebra. "New York high-schoolers who took the Regents Common Core Algebra I exam this month had to earn just 27 of 86 points, or 31.4 percent, to pass. " https://nypost.com/2017/06/25/students-taking-regents-math-test-only-needed-score-of-32-to-pass/ Anybody else who had their finger on the scales this heavily would be prosecuted for fraud.
"Why They Don't Teach About Probabilities In School ?" In case you missed it they do teach about probabilities, and geography, reading, writing, arithmetic, science, history. Alas...
Covid has wrecked so many kids’ educations. Across the board test scores are down over the last three years. Online learning hurt many students ability to absorb information and hurt their development of social skills. This is true from kindergarten all the way to high school.
This has nothing to do with why they dont teach probabilities in high school. The focus is Algebra - Pre Calc - Calc by Senior year. For the very few who hit Calculus by Junior year they can take Statistics. If not most people first take statisticis and probabilities in college but it is not across the board a requirement.
They don't teach statistics in public secondary education for a simple reason... we pay teachers to take care of students instead of paying students to seek the best education possible. And, when you subsidize production (as opposed to consumption) you get some unintended consequences, like: public schools primarily exist for the teacher union's benefit education comes secondary to simple baby-sitting Don't shoot the messenger
I completely agree with the points you've made. It's shocking to think that probability is not given more attention in schools. As someone who struggled with statistics in college, I can attest to the fact that a proper foundation in probability could have made a huge difference. I also think it's important to note that probability is not just relevant to math, but also in many other fields.