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ramyani (2857)

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Q. The odds that a book will be reviewed favorably by three independent critics are 5 to 2, 4 to 3 and 3 to 4 respectively.What is the probability that of three reviews a majority will be favorable?

please give a detailed solution and a generalised approach to solve this type of problems.


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it is not important where u stand, but in which direction u are moving
    
feynmann (2423)

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prob= 3 favour + 2 favour
 
         = 5.4.3 /7^3  + 5/7 .4/7 .4/7 + 5/7 .3/7 . 3/7 + 2/7 . 4/7 . 3/7
 
         = 60 + 80 + 45 + 24 / 7^3
 
        = 209 / 343
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kundan_leo (1187)

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do u knw the answer..........i need to check?

" the only thing thats always constant in this world , is change itself.....
so it is better to adapt to the situation or life makes you adapt to it (painfully)..."
- Kundan a.k.a Juan dankh......

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ramyani (2857)

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@ Richard

 sir is it detailed??

it is not important where u stand, but in which direction u are moving
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feynmann (2423)

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 The procedure is simple .
 
 
   2 favour means two critics have reviewed it favourably & the other has not .
 
So there arises 3 possible cases . ( expressions are self - explanatory )
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ramyani (2857)

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answer is correct and i rated u for that.

it is not important where u stand, but in which direction u are moving
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akhil_o (2709)

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feynmann is correct
 
5/7*4/7*3/7 implies all 3 are favorable
 
5/7*4/7(1-3/7) implies A and B agree,C disagrees
 
5/7*3/7(1-4/7) implies A and C agree, B does not
 
4/7*3/7*(1-5/7) implies B and C agree,A disagrees
 
adding these three cases we get the probablity

" Always remember money isn't everything but make sure you have made a lot of it before talking such nonsense!"
- Bill Gates
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m.viddya (101)

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this question was already put up.......plz have a look at this to get a detailed explanation!!!!!!!!!!!!!! http://www.goiit.com/posts/list/algebra-probability-33409.htm
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