A spinner contains six sections of equal probability. two sections are purple, two sections are red, one section is yellow and one section is blue. If you spin blue, you win $20. If you spin yellow, you win $10. If you spin red, you win $1 and if you spin purple you win nothing. How much would you need to be charged in order to make this a fair game?
a. $5.33
b. $7.75
c. $8.00
d. $10.33
e. none of the above