Suppose we roll a 6 sided die 4 times. How many ways can the sum of the rolls total 10? Express this problem as a umber of integer solutions" problem (we have seen these a lot in this course). The order of the rolls matters. 6, 5, 6, 2 is dierent than rolling 2, 6, 6, 5. Do not solve this problem here.

Now solve Question (3). Determine the number of ways a six sided die rolled 4 times can sum to 10. You may use your answer in Question (3) to help you but it is not required.

Suppose that the answer to Question (4) is X. Give the probability that 4 rolls of a 6 sided die sum to 10.