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

[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
[A]: d


[Q]: Problem: the membership of a committee consists of 4 english teachers , 2 mathematics teachers , and 2 social studies teachers . if 2 committee members are to be selected at random to write the committee ’ s report , what is the probability that the two members selected will both be english teachers ? 
Options: a ) 2 / 3 , b ) 1 / 3 , c ) 2 / 9 , d ) 1 / 12 , e ) 3 / 28
[A]: e


[Q]: Problem: three 6 faced dice are thrown together . the probability that exactly two dice show the same number on them is 
Options: a ) 5 / 15 , b ) 5 / 12 , c ) 5 / 19 , d ) 5 / 12 , e ) 5 / 11
[A]:
b