There is a basket which contains the following soft drink bottles:

2 Pepsi bottles

4 Fanta bottles

9 Coke bottles

11 Thums up bottles

A boy Nick comes and randomly selects 2 bottles from the basket, and goes away. Then Rick comes and takes away 7 soft drink bottles randomly. At last Sam comes who takes 2 bottles randomly and returns 1 of the two.

What is the probability that the bottle returned is of Thums up brand?