Yesterday, a most amazing thing happened. In our adminstrative office at work, there's a gumball machine filled with M&Ms. I put a penny in and got six M&Ms, one and only one of each basic color! That's a pretty rare thing. But, a bit later, I put another coin in and got exactly the same thing: one and only one of each of the six M&M colors! I was floored.

QUIZ: What are the odds of this happening? If you make some assumptions about the contents of the machine and the distribution of the quantity of M&Ms that get distributed each turn of the handle (it seems to range from 4 to 9), what is the probability of getting exactly one of each color twice in a row?
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