Definition from macmillandictionary.com
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There is a chance of showers today and possibly a thunderstorm.
‘Do we have enough money to get a car?’ ‘Possibly.’
He is quite possibly the most experienced climber in the world.
What could I possibly have that you want?
How can anyone possibly spend an hour in the shower?
She’s done everything she could possibly think of to help.
You can’t possibly ask them to risk their lives.
Could you possibly give me a lift to work?