would ever occur in real life

That's sort of part of the joke. ACM is the "Association for Computing Machinery" one of the biggest and oldest and nerdiest computer clubs.

ACM hosts all kinds of SIGs (special interest groups) - clubs dedicated to interest in (sometimes deeply esoteric) aspects of computer science. For a few of them, hand-coding a new specialized fast floating point calculation code during a contest could easily come up.

And ACM has a code of ethics, so it is technically possible to get kicked out.

So there's technically a situation where lying to a peer, on purpose, in a particularly mean context (such as a competition) about a floating point number computation - could actually get someone kicked out of ACM.

Edit: Additonal context that helps the joke - my experiences with ACM have all been super chill , relaxed and friendly. So "I got kicked out of ACM" is also a "you did what?!" setup for the joke.

My kid is studying physics in university, and she comes home and tells me physics anecdotes which I don't understand, so I always reply "That's Numberwang!".

So I can see these types of conversations happening between math and programming types.

It seems plausible enough to me. Many comp sci undergrads would be dimly aware that floating point arithmetic is notoriously difficult to get right and can often lead to surprising errors if you get it slightly wrong, and also dumb enough to believe that e^π^−π is exactly 20.

Comics are not only meant to present something that can happen IRL :P

That kind of trolls happen occasionally in IT, where not everybody know well about maths and physics, they may easily fall into these kind of traps by taking granted that the maths you gave is more trustful than computer code they wrote (usual kind of joke to make your friend understand that he what was doing something wrong or without understanding)

Also, in Uni, we were all little Satans, trying more to break others students works instead of trying to improve self (that was a true war among IT students). All means were used, this kind of troll (as depicted in this comics) to make the other loose time is truly expected

Classical "type Alt+F4 before saving your code to automatically fix bugs" kind of joke

Oh grad school man. Yes it would. I was also amazed that there would be people sitting at the bar who could read hieroglyphics. And random shit like that.

I did a physics degree. The start is the sort of random stuff that would come up down the pub (in the evenings). I could easily see a conversation like this happening (at least the start).

This is totally a conversation that would happen in real life. I've watched a friend of mine try to convince someone who had a bit much to drink that the primes are closed under multiplication for an hour. Absolutely hysterical