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

[Q]: Problem: a certain bag contains 60 balls — 22 white , 18 green , 5 yellow , 6 red , and 9 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 ) 0.15 , c ) 0.54 , d ) 0.75 , e ) 0.91
[A]: d


[Q]: Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 19 ! 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16
[A]: a


[Q]: Problem: if 2.5 of a number is equal to 0.75 of another number , the ratio of the numbers is : 
Options: a ) 2 : 3 , b ) 3 : 4 , c ) 3 : 10 , d ) 20 : 3 , e ) 30 : 7
[A]:
c