Know that 'it's a fair cop' is primarily used in British English, not American English. When in the UK, saying 'it's a fair cop' will sound natural, but not in the US.
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Informal Use
'It's a fair cop' is informal and often used lightheartedly or humorously. When my mum found the hidden sweets, I chuckled and said, 'It's a fair cop.'
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Legal Context
The phrase can be used in minor legal contexts, like acknowledging small wrongdoings. Caught parking illegally, I told the warden, 'It's a fair cop.'