You and 10 other people are in a drawing to win a free car. You have to pick a number from 2 to 12. The winner of the car will be determined from rolling two dice. The sum of the dice will determine the winning number.

a. Write a sample space of the possible rolls of the dice. Write a sample space for the sums.
b. Create a frequency table for the sums.
c. What is the probability of rolling a sum of 4? Write your answer in fraction and percent form.
d. What is the probability of rolling a sum of 10? Write your answer in fraction and percent form.
e. If the probability is 1/9, what is the number of the sum?
f. Using your sample space, determine which number would have the highest probability for you to win the car. Explain why this is the highest probability.

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