PokéBase - Pokémon Q&A
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Assuming the statistic you provided is correct, one in every 20 chanseys has a lucky egg. However, you can't catch a certain number to guarentee that you will get one; even if you encounter 20 pokemon it does not guarentee that one of them has a luckey egg, that just is how likley it is that one of them has it. Each encounter has a fresh chance of having a lucky egg; it doesn't become progressivly more likley.

Thus, I would recommend that you use a pokemon with the ability frisk to see if the chansey is in fact holding a lucky egg because there is no real other way to tell and you'll be draining your resources catching that many chanseys in hope of finding one with a lucky egg.

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You could use thief, covet, or trick to get the lucky egg.