Electrons emitted in the radiative decay μ - ->e - ν e ν μ γ have a significant probability of being right-handed, even in the limit m e ->0. Such ''wrong-helicity'' electrons, arising from helicity-flip bremsstrahlung, contribute an amount α4πΓ 0 to the muon decay width (Γ 0 =G F 2 m μ 5 /(192π 3 )). We use the helicity-flip splitting function D h f (z) of Falk and Sehgal [Phys. Lett. B 325 (1994) 509] to obtain the spectrum of the right-handed electrons and the photons that accompany them. For a minimum photon energy E γ =10 MeV (20 MeV), approximately 4% (7%) of electrons in radiative μ-decay are right-handed.