Suppose you play a \"daily number\" lottery game in which threedigits from 0–9 are selected at random, so your probability ofwinning is 1/1000. Also suppose lottery results are independentfrom day to day.
A. If you play every day for a 7-day week, what is theprobability that you lose every day?
B. If you play every day for a 7-day week, what is theprobability that you win at least once? (Hint: Make use of youranswer to part a.)
C. Repeat parts a and b if you play every day for a 30-daymonth.
D. What if each digit can only be selected once. How manydifferent ways can the three digits be selected?
E. If order does matter in the digits, how many different wayscan the numbers be arranged?
