Question

You play a game in which you are dealt one card at random from a standard deck of 52 cards. The payoffs are:

• $10 if you get a face card (a jack, a queen, or a king)
• Twice the number showing on a number card: $2 for an ace, $4 for a 2, and so on up to $20 for a 10

What is the expected value of the game? Choose the best answer.

A) 10+2+4+⋯+20

B) 35/2×10+1/52×2+1/52×4+⋯+1/52×20
C) 3/13×10+1/13×2+1/13×4+⋯+1/13×20

D) (13,3)×10+(13,2)×2+(13,4)×4+⋯+(13,20)×20

Answer 1

9. Rr (face card) = 12 52 3 3 주 Pay offs: 두10 P(xzi)- 52 Px=1) = 뉴→ Pay oth=2 ElX) PXi Pex-2)- Pay off-4 3 1310+ x20 13 1