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?

(In reply to

One second thought ... by Steve Herman)

It is a **good idea to consider 6** missing liters instead of 70 present.

However to calculate the requested probability you need:

a. to find the quantity of partitioning 6 among 12 barrels, taking care of capacity limitations .

b, to find the quantity of partitioning 5 among 10 barrels, taking care of capacity limitation.

c.divide double the result of b (2 ways of the missing liter - V's two different barrels ) by the result of a.

Once you perform these tasks, I will compare it with my result and find out whether my calculations were faultless or not.

I do not see any shortcuts instead of the above procedure.

.