Expected Value Question

Question

Marcus pays a fee of $6 to enter the game. The game uses a fair die. If Marcus rolls anything from 1-5 (inclusive), he wins that many dollars. He can continue rolling and winning until he rolls a six. Calculate his expected value.

Answer 1

He's got a 5:6 chance or an 83.33% chance of a "win". I can't tell you anything else; who knows what'll be rolled?