The invention belongs to the technical field of mathematics teaching equipment, and discloses a mathematical simulation demonstration device under the application of the probability statistics theory. A coin simulation platform is arranged on a bottom plate, a recording pen is fixed to the surface of the coin simulation platform, and a note bar is arranged beside the recording pen. A control switch is arranged on one side of the note bar, a series of coin circular plates are arranged on the surface of the coin simulation table, pressing springs are arranged at the bottoms of the coin circular plates, a storage tank is formed in the surface of the coin simulation table, and supporting rods are fixed to the back of the coin simulation platform, and the tops of the supporting rods are connected with a magnetic plate, a vertical rod is disposed on one side of the bottom plate, and a dice experimenter is fixed to the vertical rod through a connecting rod; and a main rod is arranged in the dice experimenter, and the circumference of the main rod is connected with side rods, and the side rods are circumferentially distributed. According to the mathematical simulation demonstration device under the application of the probability statistics theory, corresponding experimental equipment is invented according to the commonly used coin-tossing experiment and the dicing test in the probability statistics, the experimental steps when the teacher teaches the lecture can be simplified, and great convenience is brought to the teacher and the student.