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

Input: Consider Input: Problem: a bag contains 5 red , 4 blue and 3 green balls . if 2 ballsare picked at random , what is the probability that both are red ?
Options: a ) 1 / 13 , b ) 2 / 23 , c ) 5 / 33 , d ) 4 / 27 , e ) 3 / 23

Output: c

Input: Consider Input: Problem: two vessels a and b contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively . find the ratio in which these mixture be mixed to obtain a new mixture in vessel c containing spirit and water in the ration 8 : 5 ?
Options: a ) 4 : 3 , b ) 3 : 4 , c ) 5 : 6 , d ) 7 : 9 , e ) none

Output: d

Input: Consider Input: Problem: the ratio of a and b is 5 : 3 . after 2 years their ratio is 3 : 2 . what is the age of b ?
Options: a ) 5 , b ) 3 , c ) 6 , d ) 7 , e ) 8
Output: c