Answer
$0$
Work Step by Step
The probability that a given available state will be occupied by an electron is given by
$P(E)=\frac{1}{e^{\frac{E-E_F}{KT}}+1}$ (Occupancy probability) …............(1)
We have to find $P(E)$ for above the Fermi energy.
At $T=0\;K$ and for $E>E_F$, the exponential term in Eq. (1) is $e^{+\infty}$; so $P(E)=0$
Therefore, the probability that a state above the Fermi energy will be occupied at $T=0\;K$ is zero.
