A bag contains white and black balls. Two players and 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. begins the game. If the probability of winning the game is three times that of , then the ratio is
Explanation for the correct option:
Step- 1: Find the ratio of white and black balls:
Let be the probability of wins the game and be that of wins the game
Also, W be the event of drawing a white ball and B be that of drawing a black ball.
Then, ,
Step- 2: Substitute the value of and :
Step- 3: According to the given condition, :
Hence, option ‘C’ is correct.