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The Peanuts (Posted on 2003-02-18) Difficulty: 3 of 5
Although some of the things in this problem aren't true in real life just assume they are in the question.

When growing peanuts the following happens:

  • for every 2 single chambered peanuts there will be one double chambered peanut
  • for every 2 double chambered peanuts there will be one triple chambered peanut
  • for every 2 triple chambered peanuts there will be one quadruple chambered peanut.

    When a company packages 1000 peanuts in one bag they take peanuts randomly from a giant bin that contins all the peanuts grown. What are the odds that there will be 1000 individual nuts?

  •   Submitted by Alan    
    Rating: 3.7500 (4 votes)
    Solution: (Hide)
    In a series of posts (see comments), Charlie explains why the probability of this is roughly 1 in 55 cases.

    Comments: ( You must be logged in to post comments.)
      Subject Author Date
    SolutionK Sengupta2007-05-07 12:04:10
    How about this?perucho2003-07-27 13:56:24
    re: Slight CorrectionCharlie2003-02-24 09:13:00
    Slight CorrectionCharlie2003-02-24 09:08:21
    Simulation confirmation of probabilityCharlie2003-02-23 11:31:12
    Solution?levik2003-02-22 19:40:42
    re(3): Ground Rules and First Thoughtstroy2003-02-20 11:43:56
    Solutionre(2): Ground Rules and First ThoughtsCharlie2003-02-19 03:21:09
    Hints/Tipsre: Ground Rules and First ThoughtsCharlie2003-02-19 03:16:03
    re: Ground Rules (Correction)TomM2003-02-18 02:20:52
    Some ThoughtsGround Rules and First ThoughtsTomM2003-02-18 02:15:21
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