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(#M40000998) TCS Numerical Ability question Keep an EYE

there are two boxes one containing 10 red balls and other containing 10 green balls.you are allowed to move the balls between the boxes so that when you choose a box at random an a ball at random from that box the probability of getting a ball is maximised.find the maximum probability.
1)14/19,
2)3/4,
3)1/2,
4)37/38

Asked In TCS Ranjana Sinha (14 years ago)

Solved suchandra raavi Read Solution (3)

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Read Solution (3) :

suchandra raavi  (14 years ago)

To maximise probability, transfer all red balls except 1 from box1 to box2.So now box1 will have 1 red ball and box2 will have 19(9red + 10 green)balls. Now probability of selecting box1 from those is 1/2. Since there is 1 red ball only, prbability of selecting red ball will be 1. So for box1 total is (1/2)(1)=1/2. Similarly for box2 its (1/2)(9/19). Add both you get 14/19

Is this solution Helpfull? Yes (46) | No   

ROON  (14 years ago)

1/2*1 + 1/2*9/19 = 14/19

Is this solution Helpfull? Yes (4) | No   

ramprasad  (14 years ago)

1/2*1+9/19=37/38

Is this solution Helpfull? Yes (2) | No (12)  

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