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Of late, a number of instances of neutrino flux anomalies observed atshort-baselines have given traction to the hypothesis of adding new neutrinoflavours to our Standard Model set, albeit ones not associated with a partneredlepton. Anomalies observed at LSND, MiniBooNE and at short distances fromnuclear reactors have suggested the existence of sterile mass states withmasses on the scale of $\sim1\text{eV}$, prompting further investigations.Subsequently, Fermilab is set to host a Short-Baseline Neutrino (SBN)oscillation program which will cross-check each of these anomalies by deployingthree state-of-the-art liquid argon detectors along the Booster NeutrinoBeamline. Through an event-by-event Monte Carlo simulation study, this documentpresents short-baseline oscillation sensitivity predictions for SBN on a purelystatistical basis in the scope of a 3+1 sterile neutrino model approximatedwith a two flavour mixing basis. As a world's first, sensitivities in parameterspace to 3+1 mixing angles $\theta_{14}$ and $\theta_{24}$ are presented, inaddition to the sensitivities gained by combining $\nu_\mu$ disappearance and$\nu_e$ appearance channel data. Provided also are energy spectra and 3+1oscillation parameter sensitivity predictions for these two individualchannels. The results agreed with parameter space sensitivity predictionsalready conceived by Fermilab to a satisfactory degree.

Combining $\nu_e$ Appearance and $\nu_\mu$ Disappearance Channels in  Light Sterile Neutrino Oscillation Searches at Fermilab's Short-Baseline  Neutrino Facility