Published by:
CGP EDU Academic Team
Published on: August 13, 2026
A bag contains a white and 
black balls. Two players 
and 
alternately draw a ball from the bagreplacing 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 
. Find 
.
Text Solution
Verified by ExpertsThe correct answer is:
2
2
Let 
denote the event of drawing a white ball at any draw and 
that for a black ball.
Then 
wins the garme 
or 
or 
or 
Also 
wins the game 
According to the given condition,
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