How does the trading floor of an investment bank actually work?

Can someone explain how the trading floor of an investment bank actually work. I mean by that when the front office desk sells to the client a call option for instance (meaning that the client is more or less confident that the pricde of the underlying could go up), does that mean that the bank is expecting the price of the underlying to go down, meaning that the bank in someway bets against the client? how is that sale recorded in their trading book? who's the counterpary of that derivative that the front desk sold? Thanks in advance for your explanations.

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