When said about a race, "four to one bar one" means that the odds for all of the horses are four to one or better, except for ("bar") one horse, the favourite.
bar A preposition meaning 'except', probably derived from the verb bar in the sense `to exclude from consideration, set aside,' The
betting usages are bar one, as in '5/1 bar one', meaning that all
horses in the race, with the exception of the favourite, are being
offered at a price of 5/1 or better (also bar two, etc.); or, more
simply, bar on its own, as in '20/1 bar', meaning that all the other
horses whose prices have not been given are on offer at 20/1 or
better. The OED's first attestation is from Hotten's 1860 Dictionary
of Slang, where he identifies it as 'in common use in the
betting-ring: "I bet against the field bar two."'
The Language of Horse Racing
PREPOSITION British Except for.
‘his kids were all gone now, bar one’
1.1 Horse Racing
Except the horses indicated (used when stating the odds).
Bar (Lexico)