3. In a game, if you roll a 5 on a 6-sided number cube, you lose a turn. (a) What is the probability that you roll a 5? Explain your reasoning.(b) What is the probability that you either roll a 5 or do not roll a 5? Explain your reasoning. (c) What is the probability that you don’t roll a 5? Explain your reasoning.

Since there are 6 sides on a die: (a) There is a 1 in 6 chance that you would roll a 5. (b) There is a 6/6 chance that you will or will not roll a 5, since you must roll the die and it must land on a number.
(c) There is a 5/6 chance that you will not roll a 5, since there are 5 numbers other than 5.