TASK DEFINITION: In this task, you need to provide the correct option for a given problem on probability from the provided options.
PROBLEM: Problem: in how many ways 4 boys and 2 girls can be seated in a row so that they are alternate . 
Options: a ) 48 , b ) 288 , c ) 12 , d ) 256 , e ) none

SOLUTION: a

PROBLEM: Problem: how many different ways can 2 students be seated in a row of 5 desks , so that there is always at least one empty desk between the students ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 12

SOLUTION: e

PROBLEM: Problem: a store has 10 bottles of juice , including 6 bottles of apple juice . in the evening , 6 bottles of juice are sold one by one . what is the probability of selling 2 bottles of apple juice among the 6 bottles ? assume that every bottle has an equal chance of being bought . 
Options: a ) 1 / 7 , b ) 1 / 12 , c ) 1 / 14 , d ) 1 / 18 , e ) 1 / 21

SOLUTION:
c