Ohio and several other states have a Pick 3 lottery in which you select three digits, each between 0 and 9. Winning requires that you get the same three digits that are drawn, and they must be in the same order.
a. What is the probability of winning a Pick 3 lottery if you buy a single three-digit ticket?
b. What is the probability of not winning a Pick 3 lottery if you buy a single three-digit ticket?
c. What is the probability of not winning on each of 10 different tickets if each ticket has a single three-digit selection?