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Several baryons containing a heavy b-quark have been discovered. The decays of these states provide new platform for testing the standard model (SM). We study CP violation in SM for charmless two-body decays of the flavor SU(3) anti-triplet beauty baryon (b-baryon) B=(Ξb−,Ξb0,Λb0) in a model independent way. We found, in the flavor SU(3) symmetry limit, a set of new predictive relations among the branching ratio Br and CP asymmetry ACP for B decays, such as ACP(Ξb−→K0Ξ−)/ACP(Ξb−→K¯0Σ−)=−Br(Ξb−→K¯0Σ−)/Br(Ξb−→K0Σ−), ACP(Λb0→π−p)/ACP(Ξb0→K−Σ+)=−Br(Ξb0→K−Σ+)τΛb0/Br(Λb0→π−p)τΞb0, and ACP(Λb0→K−p)/ACP(Ξb0→π−Σ+)=−Br(Ξb0→π−Σ+)τΛb0/Br(Λb0→K−p)τΞb0. Future data from LHCb can test these relations and also other relations found.