In one state lottery​ game, you must select four digits​ (digits may be​ repeated). If your number matches exactly the four digits selected by the lottery​ commission, you win. ​1) How many different numbers may be​ chosen?
​2) If you purchase one lottery​ ticket, what is your chance of​ winning?
​3) There are ___ different numbers that can be chosen. ​(Type a whole​ number.)
​4) There is a ___ chance of winning.*

*The answer choices for number 4 are:
1 in 10,000
1 in 6,561
1 in 100
1 in 1,000
1 in 9,999