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

Part A: The probability is 1/6. This is because there are six options in total, and only one of those options is 6.

Part B: The probability is 6/6, or alternatively 100%. This is because that the probability of rolling a 6 is 1/6, and the probability of rolling any of the other options is 5/6. Adding them together gives a probability of 6/6.

Part C: The probability is 5/6. This is because there are six options, and of those, five of them are not 6.