A supermarket chain is running a promotion called Lucky Shopper in the hope of attracting larger numbers of customers. Each day 1000 customer cash register dockets spread randomly across the supermarket chain are printed with a three digit number between 000 and 999. Each morning before trading commences a Lucky Docket number is generated. Each of the digits in the Lucky Docket number is generated randomly from the numbers between 0 and 9, independently of the other two digits.
a. What is the probability that the winning Lucky Docket number is 321?
b. What is the probability of a Lucky Shopper winning the lottery?
c. What is the probability that the winning number contains no 7s?
d. What is the probability that the winning number contains at least one 7?
a. What is the probability that the winning Lucky Docket number is 321?
b. What is the probability of a Lucky Shopper winning the lottery?
c. What is the probability that the winning number contains no 7s?
d. What is the probability that the winning number contains at least one 7?

