A game involves rolling a fair six-sided die. If the number facing upward on the die is a whole number multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing. What is the expected value of a players winnings on each roll?

A) $3.33
B) $6.66
C) $8.50
D) $30.00
E) $40.00