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

Ex Input:
Problem: 16 balls are numbered 1 to 16 . a ball is drawn and then another ball is drawn without replacement . what is the probability that both balls have even numbers ? 
Options: a ) 4 / 11 , b ) 5 / 17 , c ) 6 / 25 , d ) 7 / 30 , e ) 8 / 37

Ex Output:
d


Ex Input:
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

Ex Output:
a


Ex Input:
Problem: 130 kg of an alloy a is mixed with 160 kg of alloy b . if alloy a has lead and tin in the ratio 2 : 3 and alloy b has tin and copper in the ratio 3 : 4 , then the amount of tin in the new alloy is ? 
Options: a ) 140.6 kg , b ) 145.3 kg , c ) 146.5 kg , d ) 110.8 kg , e ) 114 kg

Ex Output:

c