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klimenkov Group Title

There are \(n\) balls in the box. There are only black or white balls in the box. The number of white balls is unknown. Assume that that any number of white balls is equiprobable and find a probability to take a white ball from the box at the second time if the first ball that was taken is white. Balls are taken from the box randomly.

  • 2 years ago
  • 2 years ago

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  1. satellite73 Group Title
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    again?

    • 2 years ago
  2. satellite73 Group Title
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    oh maybe there is a different question this time? the set up is the same, but there is no question here

    • 2 years ago
  3. klimenkov Group Title
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    "... find a probability to take a white ball from the box at the second time..."

    • 2 years ago
  4. satellite73 Group Title
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    aaaah i thought maybe something different. no replacement i assume, and we don't know the first ball right?

    • 2 years ago
  5. satellite73 Group Title
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    what do you want to bet it is one half?

    • 2 years ago
  6. estudier Group Title
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    I really don't see how anyone is supposed to come up with a sensible answer to this....

    • 2 years ago
  7. klimenkov Group Title
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    "...the first ball that was taken is white...find a probability to take a white ball from the box at the second time..."

    • 2 years ago
  8. estudier Group Title
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    I repeat "I really don't see how...." :-)

    • 2 years ago
  9. klimenkov Group Title
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    What about http://en.wikipedia.org/wiki/Bayes%27_theorem

    • 2 years ago
  10. estudier Group Title
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    How does that help?

    • 2 years ago
  11. klimenkov Group Title
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    Do you know where to use this theorem in general?

    • 2 years ago
  12. estudier Group Title
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    I might use Bayesian inference if I had some idea of the percentage of white balls to start with....

    • 2 years ago
  13. klimenkov Group Title
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    Do you know the formula of total probability?

    • 2 years ago
  14. estudier Group Title
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    U mean this http://en.wikipedia.org/wiki/Law_of_total_probability

    • 2 years ago
  15. estudier Group Title
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    The problem here is that there is insufficient data on which to base any answer to the question.

    • 2 years ago
  16. CliffSedge Group Title
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    Any number of white balls is equiprobable, but what about the number of black balls? Is the number of black balls known? Can't find a numerical answer here, but I suspect an algebraic expression at least is possible.

    • 2 years ago
  17. mahmit2012 Group Title
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    |dw:1351374001717:dw|

    • 2 years ago
  18. klimenkov Group Title
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    No. There is a numerical answer. Like in this http://openstudy.com/users/klimenkov#/updates/5083d8ade4b0dab2a5ec3294

    • 2 years ago
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