In this task, you need to provide the correct option for a given problem from the provided options.
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Question: Problem: a bag contains 6 green balls and 8 white balls . if two balls are drawn simultaneously , what is the probability that both balls are the same colour ? 
Options: a ) 5 / 14 , b ) 8 / 21 , c ) 12 / 21 , d ) 43 / 91 , e ) 47 / 91

Answer: d


Question: Problem: in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the ` ` sport ' ' formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the ` ` sport ' ' formulation contains 3 ounces of corn syrup , how many ounces of water does it contain ? 
Options: ['a ) 45', 'b ) 50', 'c ) 55', 'd ) 60', 'e ) 63']

Answer: a


Question: Problem: the compound ratio of 2 / 3 , 6 / 7 , 1 / 3 and 3 / 8 is given by ? 
Options: a ) 7 / 98 , b ) 1 / 48 , c ) 1 / 98 , d ) 1 / 96 , e ) 3 / 42

Answer:
e