Kimberly is learning probability in middle school while her little brother, Rodney, is learning arithmetic in first grade. Kimberly uses a six-sided number cube to help Rodney learn how to add one-digit numbers.
She rolls two cubes, numbered 1 through 6, and Rodney adds up the two numbers on the faces.
a. Construct a tree diagram to determine all the possible outcomes. List the sum at the end of each
branch of the tree.
b. Construct a probability model for rolling 2 six-sided number cubes and determining the sum of the
faces.
c. What is the probability that the sum is 7?
d. What is the probability that the sum is 11?
e. Calculate the probability that the sum is an even number.
f. Calculate the probability that the sum is greater than 5.
g. What event would be complementary to the event that the sum is greater than 5? Explain your
reasoning.