Under two distinct probability models, i.e., multiple and conditional probabilities, statistical distributions are investigated. Using measurement model and statistical approaches to simulate quantum interaction on binary level systems, multiple interactive conditions are simulated via double-path interference model. From quantum interaction, Einstein, Clauser-Horne-Shimony-Holt (CHSH) and Aspect measuring quaternion is investigated. Using multiple variable logic functions and variant principle, N bit vectors of 0-1 input/output pairs form variant quaternion to establish variant double-path simulation model. Using both multiple and conditional probabilities and symmetry/anti-symmetry and synchronous/asynchronous conditions, the simulation system generates 4 groups of 16 histograms to express the statistical distributions in relevant conditions. Simulation results show that multiple probability is associated with normal distribution, while conditional probability is related to quantum interference distribution.