We perform a likelihood analysis of the minimal anomaly-mediated supersymmetry-breaking (mAMSB) model using constraints from cosmology and accelerator experiments. We find that either a wino-like or a Higgsino-like neutralino LSP,χ~10,may provide the cold dark matter (DM),both with similar likelihoods. The upper limit on the DM density from Planck and other experiments enforces mχ~10≲3TeV after the inclusion of Sommerfeld enhancement in its annihilations. If most of the cold DM density is provided by the χ~10,the measured value of the Higgs mass favours a limited range of tan β∼ 5 (and also for tan β∼ 45 if μ> 0) but the scalar mass m0 is poorly constrained. In the wino-LSP case, m3/2 is constrained to about 900 TeV and mχ~10 to 2.9±0.1 TeV, whereas in the Higgsino-LSP case m3/2 has just a lower limit ≳650TeV (≳480TeV) and mχ~10 is constrained to 1.12 (1.13)± 0.02 TeV in the μ> 0(μ<0) scenario. In neither case can the anomalous magnetic moment of the muon, (g-2)μ, be improved significantly relative to its Standard Model (SM) value, nor do flavour measurements constrain the model significantly, and there are poor prospects for discovering supersymmetric particles at the LHC, though there are some prospects for direct DM detection. On the other hand, if the χ~10 contributes only a fraction of the cold DM density, future LHC [InlineEquation not available: see fulltext.]-based searches for gluinos, squarks and heavier chargino and neutralino states as well as disappearing track searches in the wino-like LSP region will be relevant, and interference effects enable BR(Bs,d→μ+μ-) to agree with the data better than in the SM in the case of wino-like DM with μ> 0.