Consider the experiment of rolling a pair of six-sided dice. Suppose that we are interested in the sum of the face values showing on the dice.(a)How many sample points are possible? (Hint: use the counting rule for multiple-step experiments.)(b)List the sample points.There ---Select--- is one way are two ways are three ways are four ways are five ways are six ways are seven ways are no ways to sum the face values of a pair of dice to 2.There ---Select--- is one way are two ways are three ways are four ways are five ways are six ways are seven ways are no ways to sum the face values of a pair of dice to 3.There ---Select--- is one way are two ways are three ways are four ways are five ways are six ways are seven ways are no ways to sum the face values of a pair of dice to 4.There ---Select--- is one way are two ways are three ways are four ways are five ways are six ways are seven ways are no ways to sum the face values of a pair of dice to 5.There ---Select--- is one way are two ways are three ways are four ways are five ways are six ways are seven ways are no ways to sum the face values of a pair of dice to 6.There ---Select--- is one way are two ways are three ways are four ways are five ways are six ways are seven ways are no ways to sum the face values of a pair of dice to 7.There ---Select--- is one way are two ways are three ways are four ways are five ways are six ways are seven ways are no ways to sum the face values of a pair of dice to 8.There ---Select--- is one way are two ways are three ways are four ways are five ways are six ways are seven ways are no ways to sum the face values of a pair of dice to 9.There ---Select--- is one way are two ways are three ways are four ways are five ways are six ways are seven ways are no ways to sum the face values of a pair of dice to 10.There ---Select--- is one way are two ways are three ways are four ways are five ways are six ways are seven ways are no ways to sum the face values of a pair of dice to 11.There ---Select--- is one way are two ways are three ways are four ways are five ways are six ways are seven ways are no ways to sum the face values of a pair of dice to 12.(c)What is the probability of obtaining a value of 5?(d)What is the probability of obtaining a value of 9 or greater?(e)Because each roll has six possible even values (2, 4, 6, 8, 10, and 12) and only five possible odd values (3, 5, 7, 9, and 11), the dice should show even values more often than odd values. Do you agree with this statement? Explain.This statement ---Select--- is is not correct because

P(odd) =

and

P(even) =

.(f)What method did you use to assign the probabilities requested?subjective methodempirical method relative frequency methodclassical method