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I draw a card from a standard $52$-card deck.  If I draw an Ace, I win $1$ dollar.  If I draw a $2$ through $10$, I win a number of dollars equal to the value of the card.  If I draw a face card (Jack, Queen, or King), I win $10$ dollars.  If I draw a $\clubsuit$, my winnings are subtracted, and if I draw a $\spadesuit$, then nothing happens.  If I draw a diamond, I get $25$ dollars.  (For example, if I draw the $8\clubsuit$, then I lose $16$ dollars.)  What would be a fair price to pay to play the game?  Express your answer as a dollar value rounded to the nearest cent.

Your answer should be a number with two digits after the decimal point, like $21.43$.

 
 Sep 5, 2023

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