Draw a sample space diagram for the random experiment 'two tetrahedral dice, one blue

and the other red, are each numbered 1 to 4. They are rolled and the result noted'.

FInd the probability that:

a. the number on the red dice is greater than the number on the blue dice

b. the difference between the numbers on the dice is one

c. the red dice shows an odd number and the blue dice shows an even number

d. the sum of the numbers on the dice is prime