question_answer

A bag contains x white balls, 15 red balls and y black balls. A ball is drawn at random from the bag. If the probability that the drawn ball is white, is \[\frac{\mathbf{4}}{\mathbf{15}}\] and the probability that the drawn ball is red, is \[\frac{\mathbf{1}}{\mathbf{3}}\], then the values of x and y are respectively _________

A) 18, 12                                                  

B) 12, 18     

C) 14, 16                                                              

D) 16, 14

E) None of these