If you bet $1 I Kentucky's Pick 4 lottery game, you either lose $1 or gain $4,999.

Question:

If you bet $1 I Kentucky's Pick 4 lottery game, you either lose $1 or gain $4,999. (The winning prize is $5,000, but your $1 bet is not returned, so the net gain is $4,999.) The game is played by selecting a four-digit number between 0000 and 9999. What is the probability of winning? If you bet $1 on 1234, what is the expected value of your gain or loss?