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? c. What is the probability that both dices are even ?

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