Some state lotteries have a pick 3 game, where you can choose any number from 000 to 999. The state picks the winning number at random. a) How many possible numbers can you choose from? b) If all 3-digit numbers is equally likely what is the probability of any 1 specific number exactly matches the winning number? c) Suppose you pick number 156 and you can win if the winning number contains these 3 digits in any order. What is the probability you win? d) Suppose you pick the number 111 and you can win if the winning number contains these 3 digits in any order. What is the probability you win