Two fair tetrahedral dice with faces numbered 1,2,3 and 4 are thrown. The discrete random variable D is defined as the product of the two numbers thrown.
a: Find the probability distribution table of D.

b: Find P(D is a square number I D < 8).

c: In a CAS fundraising game, a prize of
US$12 is won if D is odd, and a prize of
US$6 is won if D is even. Find the price
of a ticket to ensure this is a fair game