question_answer

A bag contains 'a' number of white and 'b' number of black balls. Two players A and B alternately draw a ball from the bag, replacing the ball each time after the draw till one of them draws a white ball and wins the game. If A begins the game and the probability of A winning the game is three times that of B, then find the value of a:b.

A)  1 : 2                            

B)  2 : 1

C)  2 : 3                            

D)  3 : 2

E)  None of these