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This seems a very odd argument.
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That is because it isn't an argument at all
I am with you on the desirability of promoting statistics/probability in the H.S. curriculum. I loved the Arthur Benjamin video posted in the OP and made my D watch it and she loved it too and we agree with it.
But the stakes for next year are too high for her. She has decided she doesn't want to look like she is choosing to take what is perceived to be an "easy class" i.e, AP Stat. She has the same dilemma with some other APs. She would love to take AP Psych and AP Gov but those are considered easier classes than AP Physics and AP Euro History. She will compromise and probably take AP Physics and AP Gov. She is not motivated to take the 'easier' classes because they are easy, but because they are more interesting and relevant to her. No matter, her A's will look less shiny if they are in the easier classes than if they are in the harder classes.
Hopefully in college she will be free from this ridiculous need to prove to others that she can handle 'difficult' material.