In a game a player tosses three fair coins. He wins 10 if three heads occur, fx if two heads occur, 3 if one head occurs and 2 if no heads occur. Express in terms of x his expected gain from each game. Given that he pays 4.50 to play each game, calculate

(a) the value of x for which the game is fair,

(b) his expected gain or loss over 100 games if (C Additional) x-4.90.