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 Beaujolais Nouveau Day (Posted on 2014-10-22)
Under French law, the Beaujolais Nouveau ( wine ) is released at 12:01 A.M. on the third Thursday in November every year.

Last year, prior to the above date 11 wine amateurs deposited 12 small-size barrels at their merchantâ€™s store (A,B,C,D,E,F,G - 7 liters each; S,T,U - 5 liters each and V two barrels: one 7 liters and one 5 liters).

When the wine arrived 70 liters were poured in the above barrels so that each barrel got an integer number of liters. The Customers were billed accordingly.

If every possible distribution of wine among the 12 barrels is equally likely, what is the possibility that V(ictor) had to pay for 11 liters of wine?

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 One second thought ... | Comment 2 of 7 |
... I didn't do that quite right.

Let's consider two barrels with a large capacity, and 2 liters of wine.

They can be distributed 0-2, 1-1, or 2-0.  I treated the 1-1 configuration as twice as likely, because it can happen in two different ways.

But the question specifies that the three distributions are equally likely.  I expect that my 40% probability is therefore high.

I need to revisit, perhaps this evening.

 Posted by Steve Herman on 2014-10-22 14:16:35

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