The correct spelling of the word "bet ranch" is actually "bed and breakfast"! The reason for this might be due to the similarity in pronunciation between the /t/ and /d/ sounds. In IPA phonetic transcription, "bed and breakfast" would be transcribed as /bɛd ənd brɛkfəst/. So if you're ever tempted to spell it as "bet ranch," just remember that it's actually "bed and breakfast" - and make sure to practice your pronunciation!
The term "bet ranch" does not have a specific etymology as it is not a commonly used or recognized phrase. It appears to be a combination of the word "bet", meaning to wager or risk something of value on an uncertain outcome, and "ranch", which typically refers to a large farm or agricultural property. The combination of these two words does not hold a specific historical or linguistic origin.