Suppose That You Randomly Pick a Digit 0 Through 9 $5$

Multiple Choice

Suppose that you randomly pick a digit 0 through 9. You will be paid $ $5$ if you select a prime number. You will not receive anything for any other outcome. How much should you be willing to pay for the privilege of playing this game, to the nearest cent?

A) $2.50
B) $2.18
C) $2.34
D) $2.82
E) $2.66