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

[EX Q]: Problem: a certain bag contains 60 balls — 22 white , 10 green , 7 yellow , 15 red , and 6 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ? 
Options: a ) 0.09 , b ) 0.65 , c ) 0.54 , d ) 0.85 , e ) 0.91
[EX A]: b

[EX Q]: Problem: the ratio between the number of passengers travelling by i and ii class between the two railway stations is 1 : 50 , whereas the ratio of i and ii class fares between the same stations is 3 : 1 . if on a particular day rs . 1,325 were collected from the passengers travelling between these stations , then what was the amount collected from the ii class passengers ? 
Options: a ) rs . 750 , b ) rs . 1000 , c ) rs . 850 , d ) rs . 1250 , e ) none of these
[EX A]: d

[EX Q]: 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 mixtures be mixed to obtain a new mixture in vessel c containing spirit and water in the ratio 8 : 5 ? 
Options: a ) 3 : 4 , b ) 4 : 3 , c ) 9 : 7 , d ) 7 : 9 , e ) 8 : 1
[EX A]:
d