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

Example Input: Problem: a certain bag contains 100 balls 50 white , 30 green , 10 yellow , 7 red , and 3 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ?
Options: a ) 0.9 , b ) 0.75 , c ) 0.6 , d ) 0.8 , e ) 0.5
Example Output: a

Example Input: Problem: at an international conference , " red " world countries and " blue " world countries are the only participants . the ratio of " red " world participants to " blue " world participants is 5 : 5 . if one - third of " red " world participants are left - handed and two - thirds of " blue " world participants are left - handed , then what is the fraction of the participants who are left - handed ?
Options: a ) 1 / 4 , b ) 1 / 8 , c ) 1 / 6 , d ) 1 / 2 , e ) 1
Example Output: d

Example Input: Problem: if log 10 2 = 0.3010 , the value of log 10 80 is :
Options: a ) 1.5252 , b ) 1.903 , c ) 3.9252 , d ) 3.903 , e ) 2.5252
Example Output:
b