A game is played using one six-sided die. If the die is rolled and shows 1, 2, or 3, the player wins nothing. If the die shows 4 or 5, the player wins $3. If the die shows 6, the player wins $9. What is the expected value of this game?
a) $2.50
b) $3.50
c) $4.50
d) $5.50