You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you win $6 ; If the facts are both heads you win $8; If the coin do not match (one...

You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you win $6 ; If the facts are both heads you win $8; If the coin do not match (one shows a head, the other a tail), you lose $4

How much should you pay to play this game if your net winning, the diference between the payoff and cost of playing, are to have mean 0?