The Perfect Pack – Redux

September 5, 2010 at 5:16 pm 1 comment

Well, glory be!

Two days after lamenting that I had never encountered a perfect pack of M&M’s, and just one day after showing that, on average, only 1 in 64 packs will contain an even number of each color, it finally happened. I bought a pack of M&M’s at the 7-11 (which reminds me of another great problem), and it contained 54 M&M’s in the following distribution of colors:

  • Blue – 18
  • Brown – 6
  • Green – 8
  • Yellow – 6
  • Orange – 12
  • Red – 4

According to the M&M website, the proportion of colors is supposed to be blue, 24%; brown, 13%; green, 16%; yellow, 14%; orange, 20%; and red, 13%. The distribution of colors in the pack that I purchased differs from the expected amounts slightly. But, who cares?

The important point is that there were an even number of each color in the pack! ‘Tis a glorious day!

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The Perfect Pack – My Solution Inversions

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About MJ4MF

The Math Jokes 4 Mathy Folks blog is an online extension to the book Math Jokes 4 Mathy Folks. The blog contains jokes submitted by readers, new jokes discovered by the author, details about speaking appearances and workshops, and other random bits of information that might be interesting to the strange folks who like math jokes.

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Math Jokes 4 Mathy Folks is available from Amazon, Borders, Barnes & Noble, NCTM, Robert D. Reed Publishers, and other purveyors of exceptional literature.

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September 2010

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