Latest TCS Aptitude Question SOLUTION: Q).A Bag contains P white and Q black balls. Two players A and B alternately draw a ball from the bag, replacing the balls each time after the draw till one of them draws a white

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Q).A Bag contains P white and Q black balls. Two players A and B alternately draw a ball from the bag, replacing the balls each time after the draw till one of them draws a white and wins the games. If A begins the game and the probability of A winning the game is 3 times that of B, than of the ratio P : Q is

a)3:4
b)4:3
c)2:1
d)1:2

Asked In TCS ravikiran (10 years ago)

Unsolved Read Solution (3)

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SUNNY KUMAR SHAW  (10 years ago)

the probability that A wins is:
(p/p+q)+(q/p+q)*(q/p+q)*(p/p+q)+..........till infinity
taking out p/p+q common and then applying the formula of infinite gp series we have

P(A)=(p+q)/(p+2q).


Now, finding the probability of B

(q/p+q)*(p/p+q)+(q/p+q)*(q/p+q)*(p/p+q)+...........till infinity

Taking out (q/p+q)*(p/p+q) common and applying the formula of infinite gp we have

P(B)=q/p+2q

NOW in the question it has been clearly mentioned that P(A)=3P(B)
...therefore by solving it we are getting the ratio to be 2:1(ANS)

Is this solution Helpfull? Yes (28) | No (4)  

abhisek banerjee  (9 years ago)

Sunny kumar genius

Is this solution Helpfull? Yes (6) | No (3)  

tamminaidu  (8 years ago)

3:4
fdsf
fasdf

Is this solution Helpfull? Yes (1) | No (1)  

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