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

[Q]: Problem: 18 balls are numbered 1 to 18 . a ball is drawn and then another ball is drawn without replacement . what is the probability that both balls have even numbers ? 
Options: a ) 2 / 9 , b ) 4 / 17 , c ) 6 / 29 , d ) 8 / 35 , e ) 10 / 43
[A]: b


[Q]: Problem: 110 people are attending a newspaper conference . 45 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ? 
Options: a ) 34 , b ) 32 , c ) 30 , d ) 26 , e ) 28
[A]: d


[Q]: Problem: a number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n . what is the greatest two digit prime saturated integer ? 
Options: a ) 99 , b ) 98 , c ) 97 , d ) 96 answer , e ) 95
[A]:
d