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To get a lucky egg in Platinum, you must encounter a wild Chansey, who has a 5% encounter rate (1 in 20), use the move thief, then repeat until you find a Chansey who is holding a lucky egg. However, only 5% of encountered Chanseys hold lucky eggs.
So, the chances of finding a Chansey holding a lucky egg is 0.25%, or, 1 in 400.