The odds of our solar system forming by mere chance are exceedingly difficult to quantify precisely. The formation of a solar system involves a complex interplay of various factors, including the gravitational collapse of a molecular cloud, the conservation of angular momentum, the formation of a protoplanetary disk, and the subsequent accretion of materials to form planets.
While it is challenging to calculate the exact probabilities involved, scientists believe that the formation of a solar system like ours requires specific conditions and a series of favorable events. Many factors contribute to the likelihood of such a system forming, including the abundance of heavy elements, the presence of a stable star like the Sun, and the dynamics of the surrounding interstellar medium.
Based on current understanding, it appears that the formation of planetary systems could be a relatively common occurrence in the universe. This is supported by observations of numerous exoplanetary systems, including those with rocky planets in the habitable zones of their host stars. However, the precise conditions necessary for a system to resemble our solar system with its specific arrangement of planets and other features remain uncertain.
It's important to note that our knowledge of planetary formation is still evolving, and ongoing research and future discoveries may provide us with a better understanding of the likelihood of solar systems like ours forming by chance. At present, while it is plausible that other systems resembling our solar system exist in the universe, it is difficult to assign specific probabilities to such occurrences.