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

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

A: a
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Q: Problem: what is the greatest positive integer r such that 3 ^ r is a factor of 9 ^ 10 ? 
Options: a ) r = 5 , b ) r = 9 , c ) r = 10 , d ) r = 20 , e ) 30

A: d
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Q: Problem: the triplicate ratio of 1 : 5 is ? 
Options: a ) 1 : 7 , b ) 1 : 8 , c ) 1 : 3 , d ) 1 : 1 , e ) 1 : 125

A:
e
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