A green and red die are rolled. Find the probability of the following events:

a. The sum of the numbers on the dice is less than five.

b. One die gives a four and the other die a number less than three.

c. The sum of the numbers on the dice is three or 11.

d. The sum of the numbers on the dice is eight or both die have the same number.

e. The sum of the numbers on both die is 1.