There are green, red and yellow balls in basket. abhishek and aishwarya each of them pick one ball at a time and replace untile they get red ball. Each one will win when get red ball. The winning chances of abhishek and aishwarya are 5 and 3 respectively. Find out the ratio of green, red and yellow balls in basket.

• it is incomplete ques
• 8 years agoHelpfull: Yes(6) No(2)
• Abhishek and Aishwarya pick up a ball at random from a bag containing M red and N yellow colored balls, one after the other, replacing the ball everytime till one of them gets a red ball. The first one to get a red ball is declared the winner. Of Abhishek begins the game and the odds in favor of his winning the game are 3 and 2, then find the ration M,N.
  A. 1:1
  B. 1:2
  C. 2:3
  D. 3:2
• 7 years agoHelpfull: Yes(0) No(0)
• P(A) = chances of A wins is = P(Abhishek wins)
  
  
  chances of A getting red ball
  
  
  A begins the game and wins: so it goes like [(A get the red ball) OR (A doesn't get red AND B doesn't get red AND A gets the red) OR ........]
  so it can be expressed like
  A + (not A)(not B) A + (not A)(not B)(not A)(not B) A + .....
  
  
  
  The expression
  
  
  is an infinite geometric series with common ratio
  
  
  and first term
  
  
  . The infinite sum is
  
  
  
  => so sum of this series is
  
  
  
  
  
  Now according to the question
• 7 years agoHelpfull: Yes(0) No(0)