Abstract : Classical binomial identities are established by giving probabilistic interpretations to the summands. The examples include Vandermonde identity and some generalizations.
Victor H. Moll, Christophe Vignat. A probabilistic approach to some binomial identities. Elemente der Mathematik, European Mathematical Society, 2015, 70 (2), pp.55. ⟨10.4171/em/275⟩. ⟨hal-01322850⟩