In a game the players can earn or lose $1$ dollar every round, the probability of winning is $\frac{1}{4}$. All the games are independent from each other. A player enter the game and play until he win for the first time (after that he leave the game). Let $X$ be the profit of the player. calculate $\mathbb{E}[X]$

My attempt:

I understand that $X \leq 1$ so I assume that $\mathbb{E}[X]<0$
however I dont understand if $X$ is discrete or continuity.
The way that the player is playing is seems like $Geo(\frac{1}{4})$. I dont understand what I should do now