Quantum mechanics (QM) is a mathematical framework that describes the behavior of particles at the microscopic scale, where phenomena such as superposition and entanglement are observed. One interpretation of quantum mechanics is the probabilistic interpretation, which views the wave function as a mathematical representation of the probabilities of different outcomes of measurements.
In this interpretation, the wave function evolves deterministically according to the Schrödinger equation, but when a measurement is made, the wave function "collapses" into one of the possible measurement outcomes, each with a certain probability. The probabilistic nature of quantum mechanics is essential to explain the observed phenomena and is backed by extensive experimental evidence.
Regarding your suggestion of using quantum mechanics as a mechanism of probability itself, it's an interesting concept. Quantum mechanics provides a probabilistic description of the behavior of quantum systems, and it has been successful in explaining a wide range of phenomena at the microscopic scale. However, it's important to note that quantum mechanics is a highly specialized theory that applies to specific physical systems and has its own set of mathematical rules.
Applying quantum mechanics as a general mechanism of probability for macroscopic or everyday phenomena might not be appropriate. Classical probability theory, based on the concept of randomness, is typically more suitable for describing statistical phenomena at larger scales. Classical probability theory has been successfully applied in fields such as statistics, economics, and everyday life.
While there may be interesting connections and applications between quantum mechanics and probability theory, it's crucial to consider the appropriate level of description for different phenomena. Quantum mechanics provides a powerful framework for understanding the microscopic world, while classical probability theory remains effective for describing statistical behavior in many macroscopic situations.