I wasn’t insulted and shouldn’t have gone there. My father, born in the USA in 1912, only spoke Czech when he started in school. The people used their old country language at home, very common. Since the Chicago neighborhood was largely Czech, the small kids could be out there speaking Czech and everyone understood everyone.
My annoyance, not insult, was you generalizing about the American school system. Not true, and the two words considered are related. Possibility versus probability. It can be said there is a 90% possibility something happens, or a 90% probability. Tell someone that and most will understand it to be exactly the same thing. Maybe you are thinking possibility means only one outcome. There is a possibility the sun will explode. That’s not how I see the only use of the word.
I finished my high school here, and went to BS and MS here obviously. There is a mathematical difference between possibility and probability, and how it impact the result of many engineering decisions. This is taught in the junior year of college, and many of the science cannot be done without using statistics because a lot of the underlying physics calculation are hard to calculate without it.
As you mentioned "It can be said there is a 90% possibility or 90% probability", it shouldn't be used like that because possibility means it may or may not happen but probable means the changes of it happening is such and such.
It is a human psychology thing, we all think of risk and try to avoid all risks, but we do not know what is the trade off and what are we getting in return. Buying lottery ticket is a great example, gambling is a great example. Until we have a large sample size we won't know the probability, but we know something is possible based on science and logics, it is true or false, yes or not, possible or impossible.
Example:
1) It is impossible to freeze an mammal then thaw it without killing it. Nothing to argue about here.
2) It is possible the flight I am getting on today will crash and I will die (very low probability but yes it is possible).
3) It is possible my lottery ticket will win me 10M today (possible but very low probability).
4) The probability of an EV catching on fire is low but it is not impossible.
5) The probability of a California house catching on fire is way higher the same house in Florida due to humidity and wild fire risk
6) The probability of a California house catching on fire this year is lower than 1%, because the premium I pay is less than 1% of the rebuild cost and insurance companies are not charity.
7) The probability of a house being burnt down by wild fire is way higher than EV fire in the garage based on how insurance companies respond to these claims.
I hope my examples tell you what I think about this. You may disagree, but so far the EV fires from batteries not being hit in an accident are likely due to design and manufacturing defects, and the sample sizes proved this so far, and those batteries are recalled and replaced.
My complain is that statistics is so important it should be included in our math education in high school, not waiting till college, not only for some majors but not others. Everyone should know this because it makes and breaks people's life.