Latest Elitmus Aptitude Question SOLUTION: 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 ba

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(#M40152387) ELITMUS Numerical Ability question Probability Keep an EYE

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.

Asked In Elitmus Sachin Prakash Mejari (8 years ago)

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yamini  (8 years ago)

it is incomplete ques

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pankaj yadav  (7 years ago)

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

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nitu kumari  (7 years ago)

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

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