Abhay rolled a pair of die together. What is the probability that one die showed a multiple of 2 and the second die showed neither a multiple of 3 nor 2 ?

A

$$\frac{1}{3}$$

B

$$\frac{1}{9}$$

C

$$\frac{1}{12}$$

D

$$\frac{2}{3}$$

E

$$\frac{1}{6}$$