The State Lottery is offering a new game in which a digit from 0 to 9 is chosen at random, and your payoff is as shown below: Outcome 0, 13, 45, 69 corresponds to Payoff $5, $2, $1, $0. What should the State Lottery charge to play this game if it wishes to make a profit of 20 cents, on average, each time the game is played?