Jacob Bernoulli, Binomial Distribution, Probability, Central Limit Theorem, Deep Dives.
the exact inverse of the binomial probability P(X_bar_n|n,p) that Bernoulli worked with. And by the way, since the ratio p is a real number, P(p|X_bar_n,n) is the Probability Density Function (PDF) of p conditioned upon the observed sample mean X_bar_n. Here you are asking the question: Given the