Latest TCS Aptitude Question SOLUTION: there are 2 boxes, one containing 32 red balls and other containing 31 green balls.You are allowed to move the balls between the boxes so that when u choose a ball at random and a

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(#M40019637) TCS question Keep an EYE

there are 2 boxes, one containing 32 red balls and other containing 31 green balls.You are allowed to move the balls between the boxes so that when u choose a ball at random and a ball at random from the chosen box, the probability of getting the red ball is maximised. This maximum probability is

Asked In TCS Arpit Srivastava (11 years ago)

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Aditya  (11 years ago)

ans:3/4=0.75
transfer 31 red balls in another box so that the first box contain 1 red ball and second box contains 31 green+31 red balls.
1/2*1 + 1/2*31/62 =3/4

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Ish Mishra  (11 years ago)

Shifting is allowed therefore shift 31 red balls to Box with green balls which makes it 1 red ball in 1st box and 31 red balls out of total 62 in 2nd box.

While finding probability we will also calculate probability of getting a box that is 1/2 of each.

so probability = (1/2)*1+1/2(31/62)= 3/4

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chappidiprudvi  (11 years ago)

first to move the balls between two boxes we need to get the red ball only so the probability of choosing the box containing only red balls is 1/2 now choosing the red ball only is 32/63
so total probability is (1/2)*(32/63)=(16/63)

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