You could even simulate some of these problems with a class set of dice to let students estimate their answers, then let them calculate the probabilities when they have the necessary knowledge. Comparisons of the experimental results and the computational results is encouraged, and could be used to introduce the Law of Large Numbers.
Assume all problems involve traditional six-sided dice.
1. What is the probability of rolling a 2 in one dice roll?
2.
(i) What is the probability of rolling at least one 2 in two dice rolls?
(ii) What is the probability of rolling exactly one 2 in two dice rolls?
3. What is the probability of rolling an odd number in one dice roll?
4.
(i) What is the probability of rolling "doubles" (two of the same number) in two dice rolls?
(ii) What is the probability of rolling two or more dice with the same number in three rolls (this question is likely too difficult for a middle school class to answer; I recommend omitting it in this scenario).
5. In Monopoly, you are sent to the Jail space if you roll doubles three consecutive times. What is the probability of this happening in some set of three consecutive dice rolls?
6. Which is more likely: rolling a 5 on a standard die three times in a row, or flipping "heads" on a fair two-sided coin six times in a row?