In addition to how much fun it was, it has potential pedagogic value for teaching sampling based estimation.

It would have paired well with an exposition of vanilla Monte Carlo and the benefits of stratified sampling.

Although stratified sampling is good, one can do better in this case by using adaptive sampling, where one uses a runtime (Bayesian) estimate of vocabulary to maximize information gain per question -- preferrentially sample from those strata where the current strata specific estimate has higher variance.