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Probability of a Union by the Principle of Inclusion-Exclusion

​
number of elements
class 1
5
class 4
5
class 2
5
class 5
5
class 3
5
class 6
5
sample size
10
P(there is at least one element from each nonempty class) = 0.437469
exact probability =
876250
2003001
This Demonstration calculates the probability that there is at least one element from each of at most six classes when a given number of elements is sampled without replacement from among all the elements. This probability can be expressed in terms of the probability of a union of events and is calculated using the principle of inclusion-exclusion.
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