This post is of course talking about the difference between MLE and MAP estimation. Consider the converse case: you flip a coin once and observe it is heads. Do

This post is of course talking about the difference between MLE and MAP estimation. Consider the converse case: you flip a coin once and observe it is heads. Do you then conclude that the probability of heads is 100%? No, because even though you have data supporting that claim, you also have a strong prior belief in what your probability of heads should roughly be. This is encoded in the beta distribution, as mentioned in the article