Fewest Switches Surface Hopping (FSSH) approach is a widely used approximate quantum dynamics approach for simulating non-adiabatic molecular dynamics. The FSSH approach, a mixed-quantum classical approach (also see EH approach in Sec. 4.1.2), is a stochastic method where the nuclear DOFs "jump" or "hop" between adiabatic states. Between such hops, the nuclear DOFs evolve classically following one adiabatic state referred to as the active state. This is in contrast to the mean-field EH approach where the nuclear DOFs evolve over a mean surface. This approach has also been recently used to simulate polariton chemistry. Here we provide a brief overview of the FSSH approach for simulating polariton quantum dynamics. Similar to the EH approach the electronic-photonic subsystem is treated quantum mechanically while the nuclear DOF are evolved classically. Just as in Sec. 4.1.2 the electronic-photonic wavefunction is written as,