Below are four cards with the numbers 6, 8, 10, and 12 written on them.
Seeing these cards, Yiğit makes the claim:
``If I randomly select two of the cards and add the numbers written on them, the probability that I find my age is $\frac{1}{3}$.''
Given that this claim is correct, what is Yiğit's age?
A) 14
B) 16
C) 18
D) 20
E) 22