A Game of Chance at the Carnival Costs $4 to Play

Multiple Choice

A game of chance at the carnival costs $4 to play. The player picks a number between 1 and 6 and then three dice are rolled. If the number picked shows on all three dice the player wins $19. If the number picked shows on two of the dice then the player wins $13. If the number shows up once, $9 is won, and if it doesn't show up at all the player owes another $4. What is the player's expected value for this game?

A) -$2.20
B) -$0.51
C) -$3.77
D) $4.67
E) $8.67