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

[EX Q]: Problem: three 6 faced dice are thrown together . the probability that no two dice show the same number on them is 
Options: a ) 5 / 0 , b ) 5 / 9 , c ) 5 / 1 , d ) 5 / 3 , e ) 5 / 6
[EX A]: b

[EX Q]: Problem: a question paper has 2 parts , a & b , each containing 6 questions . if a student has to choose 4 from part a & 3 from part b , in how many ways can he choose the questions ? 
Options: a ) 100 , b ) 200 , c ) 350 , d ) 150 , e ) 140
[EX A]: d

[EX Q]: Problem: from a group of 3 boys and 3 girls , 4 children are to be randomly selected . what is the probability that equal numbers of boys and girls will be selected ? 
Options: a ) 1 / 10 , b ) 4 / 9 , c ) 1 / 2 , d ) 3 / 5 , e ) 2 / 3
[EX A]:
d