There are two major reproductive organs in the human reproductive system. This system consists of a male gamete, namely sperm cell, and the female gamete, namely egg cell. Human reproduction usually happens with the internal fertiliza-tion of reproductive cells through sexual intercourse. The fertilization process will be initiated by entering sperm cells into the vagina and sailing through the uterus and fallopian tubes towards the ovary to reach the egg cell. The sperm cells will compete to reach the egg cell; however, only one sperm cell will join the egg cell, and it will transform into an ovum or zygote. The process of cell division will be initiated once the formation of the zygote has happened. The released ovum from the ovary after formation as zygote will travel towards the uterus through the fallopian tubes. It observes the joint processes of joining male and female gametes in human reproductive systems. Needless to say that all the related happenings are purely random and subject to chance factors. The process of fertilization is a successful mating of male and female gametes. As several unexplained ran-dom causes influence the reproduction process, it is better to understand these happenings with the notion of mathematical biology and through the concepts of stochastic processes. Mathematical assumptions of fertilization mechanics are the essential devices to formulate the biological processes.