We use a method to probe experimentally the probability density of carriers confined in semiconductor quantum structures. The exciton Zeeman splitting in quantum wells containing a single, ultranarrow magnetic layer is studied depending on the layer position. In particular, a system consisting of a 1/4 monolayer MnTe embedded at varying positions in nonmagnetic CdTe/CdMgTe quantum wells is investigated. The sp-d exchange interaction results in a drastic increase of the Zeeman splitting, which, because of the strongly localized nature of this interaction, sensitively depends on the position of the MnTe submonolayer in the quantum well. For various interband transitions we show that the dependence of the exciton Zeeman splitting on the position of the magnetic layer directly maps the probability density of free holes in the growth direction.Band-gap engineering and molecular-beam epitaxial growth allow us to tailor eigenstates and wave functions of free carriers in semiconductor heterostructures. Although there are many spectroscopic tools probing eigenstates in such structures, there are only very few experimental techniques directly measuring electron wave functions or probability densities ͑PD's͒. On metal surfaces, scanning tunneling microscopy ͑STM͒ has been used to fabricate nanostructures and to probe the wave functions of the bound states. 1,2 While STM probes the lateral extension of the wave function, in semiconductor heterostructures quantum confinement is usually achieved in growth ͑vertical͒ direction. In these structures, the vertical rather than lateral dependence of the PD is of interest. It can be obtained experimentally, e.g., by photoemission experiments using synchrotoron radiation 3 as has been recently achieved in the case of metallic samples or, in the case of semiconductor heterostructures, by resonant magnetotunneling between one-dimensional quantum confined states, where the Fourier transform of the final-state wave function can be deduced. 4 In a rectangular quantum well, the differences between transition energies induced by insertion of a precisely controlled potential perturbation were optically measured and used to extract the differences of the PD at the location of the potential spike. 5 Similarly, in a parabolic quantum well with an inserted thin barrier the vertical variation of the PD was determined by transport experiments measuring differences between energy states. 6 In this paper, we map PD's in heterostructures by exploring the exciton spin ͑Zeeman͒ splitting in quantum wells with inserted ultrathin probe layers containing paramagnetic Mn 2ϩ ions. The observed spin splitting is proportional to the PD at the position of the local probe. The inclusion of magnetic submonolayers results in a strong increase of the Zeeman splitting, 7 due to spin-spin exchange interactions occurring between s-like conduction-band electrons and p-like valence band holes and the d electrons of the Mn 2ϩ ions (sp-d interactions͒. 8 Therefore, the Zeeman splitting can be easily measured by magneto-op...