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Trying to understand selling puts/calls. If I buy 100 stocks...

Trying to understand selling puts/calls. If I buy 100 stocks in a company, am I correct that I can sell a single put/call on the company? If price doesn't go down whoever bought my put loses their bet and I get to keep their premium? And then with a call, if someone thinks the company price is going to go up but it doesn't, they also lose and I keep their premium?

Then on the bad side, if the person buying is correct in their bet, I lose my 100 shares to them and they get to purchase at the strike price, or sell the contract that I just lost to someone who can afford to exercise? And then I'm just out of my 100 shares correct?

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