Let A = {1, 2, 3} and B = {a, b}. Assuming all relations from set A to set B are equally likely, what is the probability that a relation from A to B is also a function?

A

1

B

$$\frac{1}{8}$$

C

$$\frac{1}{2}$$

D

$$\frac{3^{2}}{2^{6}}$$