More generally, this is why there's (still) a mild obsession with "conjugate" prior/likelihood distribution pairs - i.e. combinations of prior and likelihood th

More generally, this is why there's (still) a mild obsession with "conjugate" prior/likelihood distribution pairs - i.e. combinations of prior and likelihood that give analytically tractable posteriors[1] - despite the ability to get easily get results with MCMC. [1] Yes, everyone wants a nice posterior. You're very clever.