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

Example Input: 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
Example Output: b

Example Input: Problem: in a sports club with 30 members , 17 play badminton and 17 play tennis and 2 do not play either . how many members play both badminton and tennis ? 
Options: a ) 7 , b ) 6 , c ) 9 , d ) 10 , e ) 11
Example Output: b

Example Input: Problem: a certain bag contains 100 balls — 50 white , 30 green , 10 yellow , 7 red , and 3 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 ) 0.9 , b ) 0.75 , c ) 0.6 , d ) 0.8 , e ) 0.5
Example Output:
a