Question

3. 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 either roll a 6 or do not roll a 6? Explain your reasoning. (c) What is the probability that you don’t roll a 6? Explain your reasoning. Answer:

Answer 1

a. Probability: 1/6

Since there are 6 possibilities and we are looking for one out of six of those possibilities, we get the ratio or fraction of 1/6

b. The wording on this question is very awkward.

c. The probability that you do not roll a six is 5/6. This is because again, there are 6 possibilities, but we are looking cases where it is not one possibility. There are 5 cases, therefore the answer is 5/6.