According to current understanding in quantum mechanics, there is a non-zero probability of finding an electron at any point in the universe, although the probability may be extremely low in certain regions.
In quantum mechanics, the position of a particle is described by a wave function, which gives the probability distribution of finding the particle at different locations. The wave function of an electron can be spread out over space, and its magnitude squared, known as the probability density, gives the likelihood of finding the electron at a particular position.
However, it's important to note that the probability of finding an electron at a specific point depends on various factors, such as its initial state, any interactions it may have undergone, and the presence of external fields. In regions where the electron is subject to strong forces or interactions, the probability of finding it there may be significantly higher.
Additionally, the wave function of an electron can be influenced by external factors, such as measurement or observation. When a measurement is performed on the electron's position, the wave function "collapses" to a specific point, and the electron is found at a definite location. Prior to the measurement, the electron's position is described by a superposition of possible states.
It's worth mentioning that the behavior of particles at extremely small scales, such as electrons, is governed by quantum mechanics, which introduces inherent uncertainties and probabilistic interpretations. These concepts can be quite different from our intuitive understanding of objects in everyday life, where we typically expect definite positions for objects.
In summary, according to quantum mechanics, there is a non-zero probability of finding an electron at any point in the universe, although the probability may vary depending on various factors and the specific conditions involved.