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?