Product rotationally state-resolved differential cross sections (DCS) have been determined for the DF(v(f), j(f)) products of the F + D-2 (v(i) = 0, j(i) = 0, 1, 2) reaction from the detailed analysis of high resolution crossed molecular beam experiments at the collision energies of 140, 180, and 240 meV. An increasing rotational excitation when going from the backward to the sideways and forward scattering regions is observed for all vibrational DF states, except for v(f) = 4. The DF products in v(f) = 4 scattered in the forward region (theta(cm) = 0 degrees-20 degrees) are rotationally cooler than those scattered at intermediate scattering angles (theta(cm) = 30 degrees-100 degrees). The experimental results are compared with quasiclassical trajectory (QCT) calculations on the ab initio potential energy surface (PES) of Stark and Werner. Good qualitative agreement is found for the observed trend of the v(f), j(f) state-resolved DCSs. In particular, the behavior of the v(f) = 4 product state is well accounted for by the QCT calculation. The results are discussed in terms of the quasiclassical state-to-state reaction probabilities as a function of the total angular momentum (opacity functions).