This mistake is my fault.
It was determined that he was not at fault.
The driver is at fault for this accident.
There was no fault at all in how she handled it.
The company admitted its own fault and apologized.
The lawyer pointed out the other side's fault.
There wasn't a single fault in his work.
ミス is a casual loanword for any kind of error, whereas 落ち度 implies personal responsibility or blame.
過ち is a slightly literary word for a wrongdoing or moral error, while 落ち度 focuses on a lapse of care or duty.
手落ち is an older, more bureaucratic word for an administrative oversight, close in meaning to 落ち度 but less commonly used today.
Standard modern spelling.
Variant spelling; less common than 落ち度.
Rarely used kanji form.
Compound of 落ち (ochi, 'falling, omission', the continuative form of 落ちる) + 度 (do, 'degree, extent'). Literally 'degree of omission', it came to mean a mistake or fault attributable to someone.