How to make multiplayer like "Trivia Crack" game?

Hello,

I am making a trivia quiz game about soccer for Android, and I am now thinking about how to make the multiplayer work.

I want it to be like the game: Trivia Crack where you play against a random opponent in a turn based game.

One player keeps getting trivia questions until he answers wrong, then it will be the other player's turn. And so on.

So can anyone tell me how can I implement a multiplayer like this?

Thanks.