In a game that costs 3 dollars to play, a fair die is rolled. If a five or a six is rolled the player receives 6 dollars. If any other number is rolled, the player receives 1 dollar. What is the expected value of the game?
Expected value = \(\frac{2}{6}\times 6+\frac{4}{6}\times 1-3=-\frac{1}{3}\)
