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Ask experts Expert Question: A bag contains 4 balls. Two balls are picked up and found to be white. Find the probability that all
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Swapnika.... finally into a branded college....NIT m cuming..!!! (527)

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A bag contains 4 balls. Two balls are picked up and found to be white. Find the probability that all the balls in the bag were white.
    
Swapnika.... finally into a branded college....NIT m cuming..!!! (527)

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plz explain wid procedure.....rates assured for each attempt....
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heloooooooo.........c'mon guys...ansr it plzzzz
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shael shekhawat (15)

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hey dis qus in board s was wrong every 1 will get 6 marks for dis for free

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Swapnika.... finally into a branded college....NIT m cuming..!!! (527)

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r u sure?
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सुपर मान (223)

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three cases arise :

2 white       (eventE1)

3 white        (E2)

4 white         (E3)

each of these events hve equal prob.=1/3

let the event of withdrawing 2 white balls be A

now P(A/E1)=2C2/4C2

P(A/E2)=3C2/4C2

P(A/E3)=4C2/4C2

now apply bayes theorem

P(E3/A)= (P(E3)*P(A/E3))    /    P(E3)P(A/E3) + P(E2)P(A/E2)  + P(E1)P(A/E1)

THE ANS IS 3/5

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सुपर मान (223)

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i don think that this a wrong question.......correct me in the above solution if it is so...
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Transmigrator (494)

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I don't think the question is wrong.....................

 

I did it this way (M not sure about the answer)......................

 

The three cases are : {2 white balls, 3 white balls, 4 white balls}

 

No of ways of having 2 white balls = 4C2    No of ways of having three balls white = 4C3

 

No of ways of having all balls white = 1

 

Hence, Probability of all balls white = 1/1+4C2+4C3 = 1/11


Common sense is not very common. --- Voltaire

Man is born free, but is everywhere in chains.-------Jean Jacques Rosseau

The rule of SATAN is inevitable~~~~~~transmigrator



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सुपर मान (223)

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pata nahin yaar kya ho raha hai koi kuch keh raha hai koi kuch........4 no wale integration ke question 6 no walon se jyada lengthy the
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mohit gupta (21)

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3/5 yaar superman is correct
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सुपर मान (223)

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chalo koi to mila:)
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Transmigrator (494)

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Supermaan is correct .........aisa mujhe bhi lagta hai


Common sense is not very common. --- Voltaire

Man is born free, but is everywhere in chains.-------Jean Jacques Rosseau

The rule of SATAN is inevitable~~~~~~transmigrator



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Abhijeet Srivastava (27)

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yes,answer is 0.6.......

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shael shekhawat (15)

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question is wrong

n it was jugde by teachers of my n other schools stupid

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shael shekhawat (15)

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n there r 2  6 marks qus were wrong in set 1

so every 1 will get 12 marks who  attempt it

 

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Deepak Aggarwal (3759)

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The question is totally correct. Here's the solution.

Let Ei denote the evet that the bag contains i white balls and so (4 - i) balls of any other colour(s). Let A denote the event that the 2 balls drawn at random are white.

P(Ei) = 1/5 (i =0,1,2,3,4)

P(A/Ei) =0 for i = 0,1

P(A/Ei) = iC2/4C2 for i>2

Now by total probability rule,

P(A) = summation i from 0 to 4 P(Ei) P(A/Ei) = (1/5)(1/4C2)(2C2 + 3C2 + 4C2)

P(A) = (1/5)(1/6) (1 + 3 + 6) = 1/3

By the Bayes' rule

P(E4/A) = P(E4) P(A/E4) / P(A) = (1/5) (1) / (1/3) = 3/5 = 0.6 (Ans)............

 


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patel rupesh (0)

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hey guys, let me tell u wat i think

 two balls are already picked up and they are white is confirmed so,,,,

we have to calculate probablity for  just remainning two balls,

 

now we have to know the probablity of the event-> the ball is white.

there is no information about that,it is true the question is incomplete.the black t-shirt guy was right i think

this question is not bounded properly.

there should be added some thing like half of the times the ball is white or there may diffrent 12 colored balls

 

 

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patel rupesh (0)

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i m sorry deepak is correct

 

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patel rupesh (0)

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i m sorry deepak is correct

 

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patel rupesh (0)

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i m sorry deepak is correct

 

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