Abstract
The evolution of galaxies is a very important topic for understanding of the evolution of Universe, and this evolution results in that galaxies are not evenly distributed in space. The probability of distribution of galaxies in space can be computed according to probabilistic models. Although the evolution of galaxies has been studied from various angles, the probability of distribution of galaxies in space has yet to be studied with respect to their positions over time. Of galaxies, the positions of galaxies in Local Group have been studied more thoroughly. In this study, we computed the distribution probabilities of galaxies in Local Group, i.e. the distribution probabilities of galaxies at present and previous positions, and the probability for an even distribution of galaxies in space. The results show that galaxies in Local Group have an extremely small chance to distribute evenly, and the distribution probability of galaxies in Local Group increases from the past to the present. The implication is that the accelerating expansion of the universe is increasing the distribution probability of galaxies, i.e. the accelerating expansion of the universe is a probabilistically probable event.
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