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New kid on the Block

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22 Mar 2010 20:48:27 IST
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a bag contains 4 balls. two balls are drawn at random and are found to be white WHAT IS THE PROBABIL
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a bag contains 4 balls. two balls are drawn at random and are found to be white WHAT IS THE PROBABILITY THAT ALL BALLS ARE WHITE


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silent killer's Avatar

Blazing goIITian

Joined: 15 Nov 2009
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22 Mar 2010 21:12:17 IST
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IS THE ANS : 1/3
silent killer's Avatar

Blazing goIITian

Joined: 15 Nov 2009
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22 Mar 2010 21:12:33 IST
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REPLY PLEASE
Killer Kiran's Avatar

Blazing goIITian

Joined: 6 Aug 2007
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22 Mar 2010 21:36:17 IST
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I guess it is 1/4 ..
Jabroo  !!'s Avatar

Blazing goIITian

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22 Mar 2010 21:41:40 IST
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but no color is mentioned..about the balls inside the bag.
sheenu's Avatar

Cool goIITian

Joined: 23 Feb 2010
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22 Mar 2010 22:30:38 IST
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3/5


New kid on the Block

Joined: 20 Jun 2009
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22 Mar 2010 22:31:32 IST
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Is the answer 4/9


New kid on the Block

Joined: 26 Jul 2008
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23 Mar 2010 07:14:25 IST
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Answer  is 1/3

It is given that 2 balls are drawn at random and found to be white, it implies that there are at least 2 white balls.

Since total no. of balls are 4,  no. of possibilities  for the balance 2 balls are :

a.      0 white, 2 non-white,

b.     1 white,  1 non-white,

c.     2 white,  0 non-white.

Thus  there are 3 possibilities of the combination of white and non-white balls exists in totality and   

the no. of possibilities of  4 white balls are one out of the total possibilities of 3 .

Hence the probability of 4 white balls is 1/3

 


New kid on the Block

Joined: 21 Feb 2010
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23 Mar 2010 08:05:38 IST
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 it is the case of white or any other color...we know that two of the balls are white..and the rest may be any color....

P(white ball known) = 1/2

p(other two balls being white) =1/3( as explained above)by another person :)

P(other two balls not being white)=2/3

by baye's theorem 

we can conclude that the probability is (1/6)/(1/6 + 1/3)

this makes it 1/3...this is a correct explanation

Aakash  Anuj's Avatar

Blazing goIITian

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23 Mar 2010 08:11:59 IST
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The answer is 3/5. Its  an aplication of Bayes' theorem. Lenghty to tell here

Aakash  Anuj's Avatar

Blazing goIITian

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23 Mar 2010 08:12:57 IST
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You will also have to assume that the probabilityof a ball being white or not is 1/2 each



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