2. Three fair dice are rolled. Let X be the sum of the 3dice.
(a) What is the range of values that X can have?
(b) Find the probabilities of the values occuring in part (a);that is, P(X = k) for each k in part (a). (Make a table.)
3. Let X denote the difference between the number of heads andthe number of tails obtained when a coin is tossed n times.
(a) What are the possible values of X?
(b) Suppose that the coin is fair, and that n = 3. What are theprobabilities associated with each of the values that X cantake?
7. An urn holds 10 red and 6 green marbles. A fair coin istossed. If we get heads, two marbles are selected from the urn.Otherwise three marbles are selected. If we have only reds, what isthe probability that we selected exactly two marbles?
