In a lottery, a player pays $1 and selects four distinct numbers from 0 to 9. Then, from an urn containing 10 identical balls numbered from 0 to 9, four balls are drawn at random and without replacement. If the numbers of three or all four of these balls matches the player's numbers, he wins $5 and $10, respectively. Otherwise, he loses. On the average, how much money does the player gain per game? (Gain = win - loss.)