Say that we have a list of k elements. How could we find the probability that a random collection of n (n < k) of the elements in that list would have an average value greater than some other value m.
Put as an example, given [0,1,2,3,4,5,6,7,8,9,9,9] how could we find the probability that a random collection of 4 of those elements (such as [4,2,6,9] or [9,2,1,9]) would have an average less than 5.