Contents: The Binomial Distribution: Historical Origin and Polynomial Distributions and Transformations, Evolution of Its Problem Situations, Probability Distributions Approximation via Fractional Moments and Maximum Entropy: Theoretical and Computational Aspects, On the Discretization of Continuous Probability Distributions Using a Probabilistic Rounding Mechanism, Some Functionals and Approximation Operators Associated with a Family of Discrete Probability Distributions, Hardness and Approximability of Dimension Reduction on the Probability Simplex, On Approximation of the Tails of the Binomial Distribution with These of the Poisson Law, Parameter Estimation for Some Probability Distributions Used in Hydrology, Characterizations of the Exponential Distribution by Some Random Hazard Rate Sequences, Percolation Problems on N-Ary Trees.