I was agreeing with/augmenting your larger point: I don't see how you can do any justice to the subject at all without calculus, just like I don't see the point

I was agreeing with/augmenting your larger point: I don't see how you can do any justice to the subject at all without calculus, just like I don't see the point in teaching a bunch of solutions to memorize to particular setups and calling it physics. Even Bayes' theorem is, IMO, most obvious in the continuous setting where you can interpret it in terms of relative areas, which gives a nice, easy picture. Making big tables and trees obscures the basic geometry.