roll a pair of fair 4-sided dice. each die is numbered with 2, 3, 4, and 5 respectively.

a) list all the possible outcomes (the sample space)

b)find the probability that the same is nine

c) find the probability that at least one die is a five.

d) find the probability that the same is six given that at least one die is a five.

e) find the probability that at least one die is a five given that the sum is six.