One octahedral die (die with 8 faces) with faces marked 1 through 8 are constructed to be
out of balance so that the 8 is 1.5 times as probable as the 2 through 7, and the sum of the
probabilities of the 1 and the 8 equals that of the other pairs on opposing faces, which are
the 2 and 7, the 3 and 6, and the 4 and 5. (6 Points)
a. Find the probability that the number on the roll of the die is at most 3.
b. Find the probability that the number on the roll of the die is at least 5.
