According to current scientific understanding, the probability of finding an electron in the universe is indeed non-zero. Electrons are subatomic particles that are a fundamental component of matter. They are found in atoms, which make up everything we observe in the universe.
Quantum mechanics, the branch of physics that describes the behavior of particles at the microscopic level, introduces the concept of wave-particle duality. According to this principle, particles like electrons can exhibit both wave-like and particle-like properties. The wave function of an electron describes the probability distribution of finding the electron in different regions of space.
The wave function of an electron is non-zero throughout the universe, which means there is a non-zero probability of finding an electron at any point in space. However, the probability of finding an electron in a particular location depends on various factors, such as the electron's energy state and the presence of other particles or fields in that region.
It's worth noting that electrons are most commonly found in the vicinity of atomic nuclei, forming the electron clouds that define the electron orbitals of atoms. The probability of finding an electron far away from any atoms or other sources of electromagnetic interaction would be relatively low, but not zero.