Entangled or Not?

Classical Mechanics

Is the following state $|\Psi\rangle$ entangled?

$|\Psi\rangle = \frac{1}{\sqrt{2}} (|\downarrow\downarrow\rangle + |\downarrow\uparrow\rangle).$

Note: The notation $|\uparrow\downarrow\rangle = |\uparrow\rangle \otimes |\downarrow\rangle$ is a common shorthand for tensor products of spin states.