Given:
A cooler contains six cola, two grape, two orange, and four lemon-lime sodas
So, the total number = 6 + 2 + 2 + 4 = 14
The number of cola = 6
so, the probability of selecting a cola to the friend = 6/14 = 3/7
After selecting a cola first time the number bottels = 14 - 1 = 13
And the number of cola = 6 - 1 = 5
So, the probability of selecting a cola second time = 5/13
So, the total probability =

so, the answer will be 15/91