Find the Conditional Probability of the Event "The Sum Is $\frac { 1 } { 9 }$

Multiple Choice

Find the conditional probability of the event "The sum is 5, given that the green one is either 2 or 3" when two fair dice (one red and one green) are rolled.

A) $\frac { 1 } { 9 }$
B) $\frac { 1 } { 36 }$
C) $\frac { 5 } { 12 }$
D) $\frac { 1 } { 6 }$
E) $\frac { 2 } { 3 }$