We calculate the formation rates of low-mass X-ray binaries with a bla
ck hole. Both a semi-analytic and a more detailed model predict format
ion rates two orders of magnitude lower than derived from the observat
ions. Solution of this conundrum requires either that stars with masse
s less than 20 M. can evolve into a black hole, or that stellar wind f
rom a member of a binary is accompanied by a much larger loss of angul
ar momentum than hitherto assumed.