What is the probability of finding an electron at fermi level at t0k and t0k?

At absolute zero (0 K), the probability of finding an electron at the Fermi level is 100% for metals, as all available states below the Fermi energy are filled, and those above are empty. However, for semiconductors and insulators, the probability is typically 0% at 0 K, as the Fermi level lies in the band gap. As temperature increases, the probability of finding electrons at or above the Fermi level increases due to thermal excitation, but at 0 K, it is defined by the occupancy of the energy states in the material.