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Solve my simple riddle !

  1. Mar 20, 2008 #1
    Solve my simple riddle!!!!!!

    If you have 500 questions (put right or wrong questions) and you will solve them all randomly as you don't know the answer so what is your probability to solve them all right?????????
    express answer as e.g 1.5*10^-2
     
  2. jcsd
  3. Mar 20, 2008 #2

    Gib Z

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    This seems more like homework than a riddle...
     
  4. Mar 21, 2008 #3
    If you have 500 questions (put right or wrong questions) and you will solve them all randomly as you don't know the answer so what is your probability to solve them all right?????????
    express answer as e.g 1.5*10^-2
    ( don't think to try combinations one by one)



    You can easily solve that 2 right or wrong questions have 2 answer probabilities, 3 right or wrong or wrong questions have 8 answer probabilities , and so on... so the number of combinations which you can get =number of one question probabilities ^number of questions
    so 500 questions combinations = 2^500 ( can't be solved by most calculators)
    so let 2^500 =x
    so log 2^500 = log x
    so 500log 2 =log x
    so x=10^(500log2)
    =10^150.5149978
    =10^150 * 10^5149978
    =3.273390608 * 10^150
    probability of solving them all right = 1/(3.273390608* 10^150) *100 =
    =======0.3054936364 * 10 ^-148 percent
    ( i imagined of that problem and i solved it so it may be wrong)
     
    Last edited: Mar 21, 2008
  5. Mar 21, 2008 #4

    Gib Z

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    Yes, its correct.
     
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