User talk:74.57.175.3

No clarification is needed or is desirable. A "beta-Bernoulli" distribution is known as a "Bernoulli". The pmf for the n=1 case reduces to the pmf for the Bernoulli distribution (with p=alpha/(alpha+beta). Therefore the clarification is not needed.

It is not desirable because it leads to a false impression that the clarification is needed. It is not. As a matter of fact, one could change the beta distribution to another distribtution (like a compound of 2 beta distributions) and still arrive at a Bernoulli distribution when n=1.