Puneet tosses two dice randomly. The number appearing on the faces of both the dice are different. Calculate the probability of the following event if
a. The sum of the numbers on the dice is 4.
b. The sum of the numbers on the dice is 8.
c. The sum of the numbers on the dice is 12.
d. The sum of the numbers on the dice is a multiple of 4.
e. The sum of the numbers on the dice is an odd number.
f. The sum of the numbers on the dice is a prime number.