In superconductors, the inversion symmetry of the crystallographic structure plays a central role in the formation of the Cooper pairs. When inversion symmetry is broken, there is the possibility singlet-triplet mixing as well as other unconventional superconducting properties. We propose to use muons as a microscopic probe to investigate the superconducting properties of TaRh2B2 and NbRh2B2. These exciting new isostructural, chiral, noncentrosymmetric superconductors have already been shown to display exotic superconducting behaviour such as anomalously large upper critical fields. Chiral superconductors are excellent candidates for triplet superconductivity and Majorana fermions, two highly sought-after phenomena. TaRh2B2 and NbRh2B2 represent a new family of chiral noncentrosymmetric superconductor in which the effect of chirality in the crystal structure can be investigated.