Answer
2.15 dollars
Work Step by Step
The probability of drawing an ace is $1/13$
The probability of drawing a face card is $3/13$
The probability of drawing a 2-10 is $9/13$
The expected value (win) is $\frac{3}{13}\times10-\frac{1}{13}\times20+\frac{9}{13}\times2=28/13=2.15$
So an amount of 2.15 dollars should be charged to play this game in order for it to be fair.