counting methods sample spaces events and outcomes

Please complete questions #’s 1, 2, and 4 – 6. Show work.

Exercises 1.1 1) A single coin is flipped two times. Construct the sample space (a list of all possible outcomes) for this situation. How many different outcomes are possible? 2) A single coin is flipped three times. Construct the sample space. How many different outcomes are possible? 4) Suppose a 4-sided die is rolled one time. What is the sample space for the result of the roll. 5) Suppose two 4-sided dice are rolled and we keep track of the total on the two dice.

a) Draw a four by four grid that demonstrates the different results for the total of the two dice.

b) What is the sample space for the total of the two dice?

6) Suppose a 4-sided die is rolled two times and we keep track of the product when the result from the first die is multiplied by the result from the second die.

a) Draw a four by four grid that demonstrates the different results for the product of the two dice.

b) What is the sample space for the product of the two dice?

c) How many different outcomes are possible for the product of the two dice? d) What outcome occurs most often?