Suppose that you are performing the probability experiment of rolling one fair six-sided die. Let F be the event of rolling a four or a five. You are interested in how many times you need to roll the die in order to obtain the first four or five as the outcome.

• p = probability of success (event F occurs)

• q = probability of failure (event F does not occur)

a. Write the description of the random variable X.

b. What are the values that X can take on?

c. Find the values of p and q.

d. Find the probability that the first occurrence of event F (rolling a four or five) is on the second trial.