We estimate the extent to which there is an evolutionary relationship betwe
en detached main sequence binaries and similar to KW, KW, and KP contact bi
naries in the first mass-exchange phase. The current and initial distributi
ons of close binaries of these types are calculated per unit volume of spac
e in the vicinity of the Sun and used to demonstrate evolutionary transitio
ns from law-mass, short-period, detached systems to contact binaries. (C) 2
001 MAIK "Nauka/Interperiodica".