Question

Consider a game in which you draw playing cards from a standard 52-card deck, one at a time. If a player draws a face card (a jack, a queen, or a king), the player is awarded 10 points. Any other card drawn costs the player 3 points. What is the expected value of drawing a card in this game?

A.

0 points
B.

3 points
C.

6.5 points
D.

10 points
I'm not sure if I'm going crazy but I did the
P(face card)*V(face card) + P(nonface card)*V(Nonface card) which was
(12/52)(10)+(40/52)*3 ~ 4.6153 which isn't even close to one of the answers Please help.