Earlier quoted context omitted.
You've computed the odds that at least 40 of the 67 union members get laid off, bargaining team member or not. You actually want the odds of a specific set of 40 individuals getting laid off. It looks like Bandcamp had 118 employees and 60 layoffs per various news outlets (and on the wikipedia page [0]). Assuming each employee was equally likely to get laid off given the target retention [1], you could compute this f…
> You've computed the odds that at least 40 of the 67 union members get laid off, bargaining team member or not. Well, close. I've computed the odds that at least 40 of a group of 67 special people get laid off. There is another comment in this thread suggesting that 67 is the number of bargaining team members. I don't know, because I haven't read the article. So my calculation might or might not be right, depending…
I incorrectly conflated the number of laid off union members with the total number of "special" individuals, while only 8 of them were actually "special" (i.e. democratically elected bargaining team members). It'd be more accurate to describe that probability of the impact to the bargaining team as (110 choose 52) / (118 choose 60) which comes out to about 0.35%, not too far off from the 2^-8 estimate (0.4%) that your approach of using the binomial distribution on this same set would result in. Both approaches would yield similar results, and the result is still somewhat in the realm of plausible deniability.
> All specific outcomes are rare, so that question will never tell you anything informative.
I'm not describing any specific outcomes in this case, though. You could throw up your hands and say "oh, we laid off these specific 60 people, there's only a 10^-34 chance of picking exactly those 60 people out of 118". That would absolutely be useless.
I'm describing the event that "all of this one group got laid off" as a subset of the space of possible outcomes given what we observed, and ascribing a probability to that event.
I will admit I used the wrong inputs, but I stand by my approach.