In conductors,in the absence of an electric field,although electrons are in motion,why is no current formed?

(N/A) In a conductor,free electrons are in a state of continuous random thermal motion due to thermal energy at room temperature.
At any given instant,the number of electrons moving in any direction is equal to the number of electrons moving in the opposite direction.
Mathematically,the average velocity of all free electrons in a conductor in the absence of an external electric field is zero,i.e.,$\vec{v}_{avg} = \frac{1}{N} \sum_{i=1}^{N} \vec{v}_i = 0$.
Since the net flow of charge across any cross-section of the conductor is zero,no net electric current is produced.