Why is this Binomial Distribution?

Question

A box contains four tickets, numbered $0, 1, 1, 2$.

$X=$ the number obtained on a draw

Why is $X$~Binomial$(2,\frac{1}{2})$?
$2$ trials, with success rate of $\frac{1}{2}$

Answer 1

The PDF of the mentioned distribution is (for $x\in\mathbb{Z}$ between $0$ and $2$) $$\binom{2}{x}/4$$ which is $\{1/4, 1/2, 1/4\}$ for $x=0,1,2$.

This agrees with the probabilities for labels: $1/4$ is $0$ and $2/4$ are $1$ and $1/4$ is $2$.