question_answer

A and B are two students. Their chances of solving a problem correctly are \[\frac{1}{3}and\frac{1}{4},\] respectively. If the probability of their making a common error is \[\frac{1}{20}\] and they obtain the same answer, then the probability of there answer to be correct is __­­______.

A)  \[\frac{10}{13}\]          

B)  \[\frac{13}{120}\]

C)  \[\frac{1}{12}\]                        

D)  \[\frac{1}{40}\]

E)  None of these