Probability

A coffee roaster has $\mathbf{1 2}$ rare coffee beans with intensity scores ranked from $\mathbf{1}$ (mildest) to $\mathbf{1 2}$ (strongest).

You choose 7 beans at random and line them up from mildest to strongest:

\(C_1< C_2< C_3< C_4< C_5< C_6< C_7\)

What is the probability that the third bean $\left(C_3\right)$ has an intensity score of exactly 4 ?