[AlexCornila]

Yeah that is definitely not the relatively easy intuition for this. The relatively easy intuition comes from learning about the Bernoulli trials, binomial distribution and Pascal triangle. Once you understand those you understand why normal distribution is so prevalent. Or just watch this https://youtu.be/AwEaHCjgeXk?si=tV72uauquCHvzkNE

[estearum]

They explained the intuition in like two sentences that an 8th grader can understand and test themselves.

Sounds simpler than whatever you’re talking about here