Nope. That simple.
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No they do not, but you can play certain Xbox original games on Xbox 360
You can not play xbox 360 games on an original xbox, however you can play some original xbox games on an xbox 360 console.
No, but some original Xbox games work for Xbox 360.
The Xbox 360 can play original Xbox games but the Xbox doesnt play Xbox 360 games.
Xbox 360 games CAN NOT be played on the original xbox.