1.) You have two fair dice. One of the dice is a 6sided die. The second die is a 10-sided die. You roll the first die and record the number and then roll the second die and record the number.

A.) How large is the sample space for this experiment? Make sure to explain your answer.

B.) What is the probability of first rolling a 5 and then a 2? Please round your answer to 3-decimal places.

C.) What is the probability that the sum of the two dice is equal to 4? Please round your answer to 3-decimal places.

D.) What is the probability that the sum of the two dice is at least 4? Please round your answer to 2-decimal places.

E.) What does it mean for two events to be mutually exclusive? In the context of this dice rolling problem, please give an example of two events that are mutually exclusive, and briefly explain why the events you picked are mutually exclusive.