# Individual Bernoulli distributions from Discrete Uniform

Perhaps a silly question, but:

Let's say I want to randomly pick a number between 1-5, so that each number is equally likely to be picked. In other words, the number I pick is discrete Unif{1,5}.

Would this be equivalent to saying the distribution of picking each number is Bernoulli(0.2)?

• Yes, marginally, but no jointly, that is the five indicators are not independent... – Xi'an Jan 27 '18 at 20:33

If $$X_i$$ is the number of times the number $$i$$ is drawn, then jointly $$(X_1, X_2, X_3, X_4, X_5)$$ will have a multinomial distribution with parameters $$(n=1, p_i=1/5, i=1,2,3,4,5)$$.