A gambler plays roulette conservatively: she bets on black every time, which gives her probability 18$/ 38$ of winning on each spin. Define a random sequence $X_{n}=$ the number of wins she has

after the $n$ th spin for $n=1,2,3, \ldots$

(a) Is $X_{n}$ a discrete-space or continuous-space sequence?

(b) Sketch two possible sample functions (sequences) for $n=1, \ldots, 10$ .

(c) What is the probability distribution of $X_{n}$ for fixed $n ?$