Interpretation in Physical and Biological Phenomena
DOI:
https://doi.org/10.51699/cejsr.v45i3.648Keywords:
random walk, collection of particles, classical probability, physical, chemical and biological processes, Pascal's triangle, Galton's board, Markov chainAbstract
Probability theory is an important concept in interpretation of natural phenomena in the field of physics, chemistry and biology through the notion of random variables. The chaotic phenomena of the motion of objects in physical system, e.g. of ball in a game of billiards, or motion of molecules in a Brownian motion, illustrate the need to model the motion as probabilistic. The connection of concepts of the random variable with the modeling of motion trajectories and the probability of a state is underestimated as the didactic implementation of the random variable concepts to this end lacks further theoretical backing. This paper is an attempt to demonstrate how randomness in physical and biological phenomena could be conceptualized mathematically through classical probability and following the concepts of a Pascal triangle and a Markov chains. The above paper illustrates how distributions of binomial can be applied to compute the positions of particles once a number of time steps has passed and can also be visualized with the help of Galton boards. The essence of the work is that discrete probabilistic modeling of motion and phenomena in the real world leads to the fact that the individual motion of particles can be random, but overall probabilistic laws can take place. The knowledge findings can be utilized to gain a greater comprehension of stochastic processes in the science educational field and provide a background in applying it to modeling dynamic systems.
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