1. In a game, if you roll a 6 on a 6-sided number cube, you lose a turn. (a) What is the probability that you roll a 6? Explain your reasoning. (b) What is the probability that you don’t roll a 6? Explain your reasoning. (c) What is the probability that you either roll a 6 or do not roll a 6? Explain your reasoning. (d) Suppose you rolled the 6-sided number cube 120 times, how many times would you expect to roll a 6? Explain and show all of your work.