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

SOLUTION: c

PROBLEM: Problem: a certain junior class has 1000 students and a certain senior class has 800 students . among these students , there are 60 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 ) 1 / 60 , e ) 1 / 15

SOLUTION: a

PROBLEM: Problem: a box contains 1 red balls and 5 black balls . one by one , every ball is selected at random without replacement . what is the probability that the fourth ball selected is black ? 
Options: a ) 1 / 4 , b ) 1 / 2 , c ) 1 / 2 , d ) 5 / 8 , e ) 2 / 3

SOLUTION:
c