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

Example Input: Problem: a jar contains only red , yellow , and orange marbles . if there are 3 red , 5 yellow , and 4 orange marbles , and 3 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ? 
Options: a ) 1 / 60 , b ) 1 / 45 , c ) 2 / 45 , d ) 3 / 22 , e ) 5 / 22
Example Output: d

Example Input: Problem: kim has 8 pairs of shoes ; each pair is a different color . if kim randomly selects 2 shoes without replacement from the 16 shoes , what is the probability that she will select 2 shoes of the same color ? 
Options: a ) 2 / 5 , b ) 1 / 5 , c ) 1 / 9 , d ) 1 / 10 , e ) 1 / 15
Example Output: e

Example Input: Problem: how many cubes of 2 cm edge can be cut out of a cube of 24 cm edge 
Options: a ) 1136 , b ) 1728 , c ) 1216 , d ) 1484 , e ) none of these
Example Output:
b