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

[EX Q]: Problem: jack has two dice , one has 6 equally probable sides , labeled 1 , 2 , 3 , 4 , 5 , 6 , and the other has 7 equally probable sides , labeled 1 , 2 , 3 , 4 , 5 , 6 , 7 . if jack rolls both dice what is the probability that both of the numbers will be even ? 
Options: a ) 3 / 14 , b ) 2 / 7 , c ) 1 / 3 , d ) 1 / 2 , e ) 12 / 21
[EX A]: a

[EX Q]: Problem: two family reunions are happening at the same hotel , the dates reunion and the hall reunion . all 50 guests at the hotel attend at least one of the reunions . if 50 people attend the dates reunion and 60 people attend the hall reunion , how many people attend both reunions ? 
Options: a ) 2 , b ) 5 , c ) 10 , d ) 16 , e ) 60
[EX A]: e

[EX Q]: Problem: if g and f are both odd prime numbers andg < f , then how many different positive integer factors does 2 gfhave ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12
[EX A]:
d