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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?

  • See The Solution Submitted by Alan    
    Rating: 3.7500 (4 votes)

    Comments: ( Back to comment list | You must be logged in to post comments.)
    Slight Correction | Comment 8 of 11 |
    (In reply to re(2): Ground Rules and First Thoughts by Charlie)

    The count of 14,700 combinations of types of peanut failed to count combinations in which there were zero quads, or zero triples or zero doubles. The correct number, including these possibilities, is 15,123. This does not affect the overall probability, however, as the probabilities are so low of not having any particular size of peanut. The overall probability changes only in the 25th position after the decimal, farther out than the quoted probability's precision.
      Posted by Charlie on 2003-02-24 09:08:21

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