We address the issue of whether quasifree single-nucleon knockout measurements carry sufficient information about the nuclear interior. To this end, we present comparisons of the reaction probability densities for A(e,e p) and A (p,2p) in quasifree kinematics for the target nuclei 4 He, 12 C, 56 Fe, and 208 Pb. We adopt a comprehensive framework based on the impulse approximation and on a relativized extension of Glauber multiple-scattering reaction theory in which the medium effects related to short-range correlations (SRCs) are implemented. It is demonstrated that SRCs weaken the effect of attenuation. For light target nuclei, both the quasifree (p,2p) and (e,e p) can probe average densities of the same order as nuclear saturation density ρ 0 . For heavy nuclei such as 208 Pb, the probed average densities are smaller than 0.1ρ 0 and the (e,e p) reaction is far more efficient in probing the bulk regions than (p,2p).