A state lottery's Pick 3 game asks players to choose a three-digit number, 000 to 999. The state chooses the winning three-digit number at random, so that each number has probability 1/1000. You win if the winning number contains the digits in your number, in any order.
(a) Your number is 491. What is your probability of winning?
(b) Your number is 222. What is your probability of winning?