Let us roll a six-sided dice n times. We suppose that the tosses are independent and random. Let $X_i$ be a random variable that takes $0$ if the number obtained belongs to {1, 2} or $1$ if the result belongs to {3, 4}, or $2$ if the number belongs to {5, 6}.
The questions is which probability distribution is this for $X_i$ / $1 \leq i \leq n$ ?
I am thinking this is not Binomial, Geometric, or Poisson, because there is no success/failure. I am just confused.