In this task, you need to provide the correct option for a given problem on probability from the provided options.

Input: Consider Input: Problem: a certain junior class has 100 students and a certain senior class has 80 students . among these students , there are 6 siblings pairs each consisting of 1 junior and 1 senior . if 1 student is to be selected at random from each class , what is the probability that the 2 students selected will be a sibling pair ? 
Options: a ) 3 / 40000 , b ) 1 / 3600 , c ) 9 / 2000 , d ) 3 / 4000 , e ) 1 / 15

Output: d


Input: Consider Input: Problem: there are 23 students in a class . in how many different ways can a committee of 3 students be formed ? 
Options: a ) 1254 , b ) 1482 , c ) 1771 , d ) 1875 , e ) 1923

Output: c


Input: Consider Input: Problem: a basket contains 6 apples , of which 1 is spoiled and the rest are good . if we select 2 apples from the basket simultaneously and at random , what is the probability that the 2 apples selected will include the spoiled apple ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 5 , e ) 1 / 6


Output: a