Grace and her friends are playing a game that uses two dice. Each die is a tetrahedron – a four‐sided shape with each side an equilateral triangle. Each side of the die contains
one of the digits 1, 2, 3, or 4.
a. Create the sample space of all possible outcomes if you were to roll the two dice
simultaneously. List the digit on the first die first and the digit on the second die
second (i. e. 1,1; 1,2; and so on.) (10 points)
b. What is the theoretical probability that the sum of the two numbers on a roll will
be five? (2 points)
c. If Grace and her friends were to roll the two dice 100 times, how many of the
100 times could they expect to roll the same number on each die? (In other
words, the outcome would be 1,1 or 2,2 or 3,3 or 4,4.) (4 points)