1. A pair of dice are rolled once (so will have two numbers show up when we roll the pair). The sample space is S = {(1, 1),(1, 2),(1, 3), ....,(6, 5),(6, 6)}. There are 36 elements in the sample space, and they are all equally likely to occur (thus each has probability of 1 36 of occurring).

a. Explain why there are 36 equally likely elements in the sample space and why the probability of any one of those elements is 1/36.

b. What is the probability that the sum of the two dices is less than or equal to 11 ?

2. Is this simulation value close to what you derived in question 1 part b?