1) I roll two dice. Let X be the random variable equal to the sum of the two. a) Whatis P(X=12)? b) Describe the underlying probability space. c) Suppose that somebody tells me that at least one of the two dice shows a 6. How can I incorporate this new information to change my certainty that the value of X is 12? What random variables would be involved? What is our new certainty that X has the value 12