It's interesting to consider the full correlation matrix! Groups of friends may tend to flake together too, people who live in the same neighborhood might rely on the same subways or highways...
I think this is precisely the same problem as pricing a CDO, so a Gaussian Copula or graphical model is really what you need. To plan a great party.
Then sometimes you need the "max + min souls" (seats, plates), and account for what we call "the S-factor" if someone brings an unexpected guest, roommate, etc.
Lastly: there is a difference between a "party" and a "soirée" (per my college roommate: "you don't have parties, you have soirées!")
All the advice is really accurate, makes me miss hosting. If you want to go a little deeper, there's a book called "How to be a Gentleman", and it has a useful section on "A Gentleman Hosts a Party", and then "Dads Own Cookbook" has a chapter on party planning, hosting, preparation timelines... there's quite a bit of art and science to it!
I made myself a "food and drinks amount" calculator for weekends/week-long party events a few years back and it was eerily accurate once you take in unexpected plus ones, flake rates, hangovers and other computable-at-scale events into the formula!